Prof. Dr. Norbert PONCIN

Norbert PONCIN

Full professor

Forschungsthemen Geometry in connection with Algebra and Theorical Physics
Fakultät oder Zentrum Fakultät für Naturwissenschaften, Technologie und Medizin
Department Fachbereich Mathematik
Postadresse Université du Luxembourg
2, Avenue de l'Université
L-4365 Esch-sur-Alzette
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In press

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See detailThe Geometry of Supersymmetry - A Concise Introduction
Poncin, Norbert; Schouten, Sarah

in Graduate Journal of Mathematics (in press)

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2022

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See detailComparison theorems for Kan, faintly universal and strongly universal derived functors
Govzmann, Alisa; Pistalo, Damjan; Poncin, Norbert

in Surveys in Mathematics and its Applications (2022), 17

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See detailA new approach to model categorical homotopy fiber sequences
Govzmann, Alisa; Pistalo, Damjan; Poncin, Norbert

in Dissertationes Mathematicae (2022), doi: 10.4064/dm858-5-2022

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See detailThe Tor Spectral Sequence and Flat Morphisms in Homotopical D-Geometry
Govzmann, Alisa; Pistalo, Damjan; Poncin, Norbert

E-print/Working paper (2022)

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See detailIndeterminacies and models of homotopy limits
Govzmann, Alisa; Pistalo, Damjan; Poncin, Norbert

in Theory and Applications of Categories (2022), 38(41), 1608-1635

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See detailConference 'Interactions and Applications of Homotopical Algebra and Geometry'
Govzmann, Alisa; Pistalo, Damjan; Poncin, Norbert

Report (2022)

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See detailÉtale Coverings in Homotopical D-Geometry
Govzmann, Alisa; Pistalo, Damjan; Poncin, Norbert

E-print/Working paper (2022)

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See detailDifferential graded Lie groups and their differential graded Lie algebras
Jubin, Benoît; Kotov, Alexei; Poncin, Norbert; Salnikov, Vladimir

in Transformation Groups (2022), 10.1007/s00031-021-09666-9

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2021

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See detailLinear Z2n-Manifolds and Linear Actions
Bruce, Andrew; Ibarguengoytia, Eduardo; Poncin, Norbert

in Symmetry, Integrability and Geometry: Methods and Applications (2021), 17(060), 58

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See detailLocal Forms of Morphisms of Colored Supermanifolds
Covolo, Tiffany; Kwok, Stephen; Poncin, Norbert

in Journal of Geometry and Physics (2021), 168

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2020

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See detailLinear Z2n-Manifolds and Linear Actions
Bruce, Andrew; Ibarguengoytia, Eduardo; Poncin, Norbert

E-print/Working paper (2020)

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See detailThe Schwarz-Voronov embedding of Z_2^n - manifolds
Bruce, Andrew; Ibarguengoytia, Eduardo; Poncin, Norbert

in Symmetry, Integrability and Geometry: Methods and Applications (2020), 16(002), 47

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See detailFunctional analytic issues in Z_2 ^n Geometry
Bruce, Andrew; Poncin, Norbert

in Revista de la Union Matematica Argentina (2020), 60(2), 611-636

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2019

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See detailConference 'Supergeometry, Supersymmetry and Quantization'
Bruce, Andrew; Ibarguengoytia, Eduardo; Poncin, Norbert

Report (2019)

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See detailProducts in the category of Z_2^n manifolds
Bruce, Andrew; Poncin, Norbert

in Journal of Nonlinear Mathematical Physics (2019), 26(3), 420-453

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See detailHomotopical algebraic context over differential operators
Di Brino, Gennaro; Pistalo, Damjan; Poncin, Norbert

in Journal of Homotopy and Related Structures (2019), 14(1), 293-347

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2018

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See detailKoszul-Tate resolutions as cofibrant replacements of algebras over differential operators
Di Brino, Gennaro; Pistalo, Damjan; Poncin, Norbert

in Journal of Homotopy and Related Structures (2018), 13(4), 793-846

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See detailOn Koszul-Tate resolutions and Sullivan models
Pistalo, Damjan; Poncin, Norbert

in Dissertationes Mathematicae (2018), 531

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See detailDerived D-Geometry
Poncin, Norbert

Presentation (2018, September 18)

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See detailHigher Algebra over the Leibniz Operad
Poncin, Norbert

in Banach Center Publications (2018, March 18), 113

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2017

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See detailWorkshop on Supergeometry and Applications
Bruce, Andrew; Poncin, Norbert

Report (2017)

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See detailHomotopical algebraic context over differential operators
Di Brino, Gennaro; Pistalo, Damjan; Poncin, Norbert

E-print/Working paper (2017)

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See detailHigher Supergeometry Revisited
Poncin, Norbert

Presentation (2017, December 14)

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2016

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See detailSplitting theorem for Z_2^n-supermanifolds
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert

in Journal of Geometry and Physics (2016), 110

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See detailThe category of Z_2^n-supermanifolds
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert

in Journal of Mathematical Physics (2016), 57(7), 16

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See detailDifferential Calculus on Z_2^n Supermanifolds
Covolo, Tiffany; Kwok, Stephen; Poncin, Norbert

E-print/Working paper (2016)

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See detailThe Frobenius theorem for Z^n_2-supermanifolds
Covolo, Tiffany; Kwok, Stephen; Poncin, Norbert

E-print/Working paper (2016)

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See detailA Tale of Three Homotopies
Dotsenko, Vladimir; Poncin, Norbert

in Applied Categorical Structures (2016)

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See detailIntegration on colored supermanifolds
Grabowski, Janusz; Kwok, Stephen; Poncin, Norbert

E-print/Working paper (2016)

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See detailFree Courant and Derived Leibniz Pseudoalgebras
Jubin, Benoît; Poncin, Norbert; Uchino, Kyosuke

in Journal of Geometric Mechanics (2016), 8(1), 71-97

See detailOn horizontal and vertical categorifications of Leibniz algebras
Poncin, Norbert

Presentation (2016, December 16)

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See detailTowards Integration on Colored Supermanifolds
Poncin, Norbert

in Banach Center Publications (2016, December), 110

See detailHigher Algebra over the Leibniz Operad
Poncin, Norbert

Scientific Conference (2016, September 25)

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See detailGeneralized Courant algebroids
Poncin, Norbert

Scientific Conference (2016, August 08)

See detailIntegration on Z_2^n - manifolds
Poncin, Norbert

Presentation (2016, April 06)

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See detailResearch in Pure Mathematics
Poncin, Norbert

Conference given outside the academic context (2016)

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See detailGeometry and Mathematical Physics
Poncin, Norbert

Learning material (2016)

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See detailMathematics - Professional Prospects
Poncin, Norbert

Conference given outside the academic context (2016)

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2015

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See detailModel structure on differential graded commutative algebras over the ring of differential operators
Di Brino, Gennaro; Pistalo, Damjan; Poncin, Norbert

E-print/Working paper (2015)

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See detailModel categorical Koszul-Tate resolution for algebras over differential operators
Di Brino, Gennaro; Pistalo, Damjan; Poncin, Norbert

E-print/Working paper (2015)

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See detailWorkshop on Higher Geometry and Field Theory
Kwok, Stephen; Poncin, Norbert; Salnikov, Vladimir

Report (2015)

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See detailOn four Koszul-Tate resolutions
Pistalo, Damjan; Poncin, Norbert

E-print/Working paper (2015)

See detailHigher Berezinian and colored supermanifolds
Poncin, Norbert

Scientific Conference (2015, July 18)

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See detailMulti-graded algebra and geometry
Poncin, Norbert

Scientific Conference (2015, May 12)

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See detailGeometry of generalized supermanifolds
Poncin, Norbert

Presentation (2015, April 02)

See detailMathematician - Job of the Year 2014
Poncin, Norbert

Speeches/Talks (2015)

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2014

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See detailZ_2^n-Supergeometry I: Manifolds and Morphisms
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert

E-print/Working paper (2014)

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See detailZ_2^n-Supergeometry II: Batchelor-Gawedzki Theorem
Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert

E-print/Working paper (2014)

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See detailThe free Courant algebroid
Jubin, Benoît Michel; Poncin, Norbert; Uchino, Kyousuke

E-print/Working paper (2014)

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See detailOn the infinity category of homotopy Leibniz algebras
Khudaverdyan, David; Poncin, Norbert; Qiu, Jian

in Theory and Applications of Categories (2014), 29(12), 332-370

See detailZ_2^n Supergeometry
Poncin, Norbert

Presentation (2014, December 17)

See detailDerived Geometry and Applications
Poncin, Norbert

Presentation (2014)

See detailAlgebraic geometry over differential operators
Poncin, Norbert

Presentation (2014)

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2013

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See detailOn the category of Lie n-algebroids
Bonavolontà, Giuseppe; Poncin, Norbert

in Journal of Geometry and Physics (2013), 73

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See detailHigher Algebras and Lie Infinity Homotopy Theory
Dotsenko, Vladimir; Poncin, Norbert

Report (2013)

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See detailThe supergeometry of Loday algebroids
Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert

in Journal of Geometric Mechanics (2013), 5(2), 185--213

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See detailLie superalgebras of differential operators
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert

in Journal of Lie Theory (2013), 23(1), 35--54

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See detailHigher Lie Theory
Jubin, Benoît Michel; Poncin, Norbert

Report (2013)

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2012

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See detailHigher trace and Berezinian of matrices over a Clifford algebra
Covolo, Tiffany; Ovsienko, Valentin; Poncin, Norbert

in Journal of Geometry and Physics (2012), 62(11), 22942319

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See detailGraded Algebra and Geometry
Covolo, Tiffany; Ovsienko, Valentin; Poncin, Norbert

Report (2012)

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See detailLectures on Supergeometry
Covolo, Tiffany; Poncin, Norbert

E-print/Working paper (2012)

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See detailA tale of three homotopies
Dotsenko, Vladimir; Poncin, Norbert

E-print/Working paper (2012)

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See detailDifferential Geometry
Poncin, Norbert

Learning material (2012)

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See detailFiber bundles and connections
Poncin, Norbert; De Oliveira, Edite; Notarnicola, Luca; Notarnicola, Massimo

E-print/Working paper (2012)

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2011

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See detailGeometric structures encoded in the Lie structure of an Atiyah algebroid
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert

in Transformation Groups (2011), 16(1), 137--160

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See detailLectures on Algebraic Operads
Hilger, Patrick; Poncin, Norbert

E-print/Working paper (2011)

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See detailHigher categorified algebras versus bounded homotopy algebras
Khudaverdyan, David; Mandal, Ashis; Poncin, Norbert

in Theory and Applications of Categories (2011), 25

See detailLoday algebroids
Poncin, Norbert

Scientific Conference (2011)

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See detailHigher Loday Algebras
Poncin, Norbert

Scientific Conference (2011)

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2010

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See detailStrongly r-matrix induced tensors, Koszul cohomology and arbitrary-dimensional quadratic Poisson cohomology
Ammar, Mourad; Kass, Guy; Masmoudi, Mohsen; Poncin, Norbert

in Pacific Journal of Mathematics (2010), 245(1), 1--23

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See detailCoalgebraic approach to the Loday infinity category, stem differential for 2n-ary graded and homotopy algebras
Ammar, Mourad; Poncin, Norbert

in Annales de l'Institut Fourier (2010), 60(1), 355--387

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See detailThe Lie superalgebra of a supermanifold
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert

in Journal of Lie Theory (2010), 20(4), 739--749

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See detailEquivariant quantization of orbifolds
Poncin, Norbert

Scientific Conference (2010)

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See detailEquivariant quantization of orbifolds
Poncin, Norbert; Radoux, Fabian; Wolak, Robert

in Journal of Geometry and Physics (2010), 60(9), 1103--1111

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2009

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See detailThe structure of Poisson cohomology
Ammar, Mourad; Kass, Guy; Poncin, Norbert

in Universitatis Iagellonicae Acta Mathematica (2009)

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See detailThéorie des représentations du groupe symétrique
Hilger, Patrick; Poncin, Norbert

E-print/Working paper (2009)

See detailStrongly homotopy Leibniz algebras
Poncin, Norbert

Scientific Conference (2009)

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See detailA first approximation for quantization of singular spaces
Poncin, Norbert; Radoux, Fabian; Wolak, Robert

in Journal of Geometry and Physics (2009), 59(4), 503--518

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2008

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See detailFormal Poisson cohomology of twisted r-matrix induced structures
Ammar, Mourad; Poncin, Norbert

in Israel Journal of Mathematics (2008), 165

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See detailDequantized differential operators between tensor densities as modules over the Lie algebra of contact vector fields
Frégier, Yaël; Mathonet, Pierre; Poncin, Norbert

E-print/Working paper (2008)

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See detailDecomposition of symmetric tensor fields in the presence of a flat contact projective structure
Frégier, Yaël; Mathonet, Pierre; Poncin, Norbert

in Journal of Nonlinear Mathematical Physics (2008), 15(2), 252--269

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See detailProceedings of the 8th Conference on Geometry and Topology of Manifolds
Kubarski, Jan; Poncin, Norbert; Wolak, Robert

Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2008)

See detailPoisson, Graded, and Strongly Homotopy Cohomologies
Poncin, Norbert

Scientific Conference (2008)

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See detailMathématique physique 3
Poncin, Norbert

Learning material (2008)

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See detailMathématique physique 1 et 2
Poncin, Norbert

Learning material (2008)

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2007

See detailPoisson cohomology and Deformation Quantization
Ammar, Mourad; Poncin, Norbert

Scientific Conference (2007)

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See detailOn quantum and classical Poisson algebras
Grabowski, Janusz; Poncin, Norbert

in Banach Center Publications (2007), 76

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See detailOn a general approach to the formal cohomology of quadratic Poisson structures
Masmoudi, Mohsen; Poncin, Norbert

in Journal of Pure and Applied Algebra (2007), 208(3), 887--904

See detailA survey on natural quantization
Poncin, Norbert

Presentation (2007)

See detailPoisson cohomology and its (graded) extensions
Poncin, Norbert

Scientific Conference (2007)

See detailModules of differential operators and quantization
Poncin, Norbert

Scientific Conference (2007)

See detailNatural and projectively invariant quantizations
Poncin, Norbert

Presentation (2007)

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2006

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See detailFormal Poisson cohomology of r-matrix induced quadratic structures
Masmoudi, Mohsen; Poncin, Norbert

Poster (2006)

See detailNatural and equivariant quantizations
Poncin, Norbert

Scientific Conference (2006)

See detailRemarks on the LP-cohomology
Poncin, Norbert

Scientific Conference (2006)

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2005

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See detailDerivations of the Lie algebras of differential operators
Grabowski, Janusz; Poncin, Norbert

in Indagationes Mathematicae (2005), 16(2), 181--200

See detailProceedings of the 4th Conference on Poisson Geometry 2004 Travaux mathématiques, Vol. XVI
Molitor-Braun, Carine; Poncin, Norbert; Schlichenmaier, Martin

Book published by University of Luxembourg (2005)

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2004

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See detailAutomorphisms of quantum and classical Poisson algebras
Grabowski, Janusz; Poncin, Norbert

in Compositio Mathematica (2004), 140(2), 511-527

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See detailLie algebraic characterization of manifolds
Grabowski, Janusz; Poncin, Norbert

in Central European Journal of Mathematics (2004), 2(5), 811--825

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See detailEquivariant operators between some modules of the Lie algebra of vector fields
Poncin, Norbert

in Communications in Algebra (2004), 32(7), 2559--2572

See detailOn equivariant quantization and related problems II
Poncin, Norbert

Presentation (2004)

See detailOn equivariant quantization and related problems I
Poncin, Norbert

Presentation (2004)

See detailSymbol calculus and applications I
Poncin, Norbert

Presentation (2004)

See detailSymbol calculus and applications II
Poncin, Norbert

Presentation (2004)

See detailDerivations of the Lie algebras of differential operators
Poncin, Norbert

Scientific Conference (2004)

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2003

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See detailProceedings of the Conference on Harmonic Analysis 2002
Bekka, Bachir; Ludwig, Jean; Molitor-Braun, Carine; Poncin, Norbert

Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2003)

See detailLie-algebraic characterization of manifold structures
Poncin, Norbert

Scientific Conference (2003)

See detailLie algebras of differential operators
Poncin, Norbert

Scientific Conference (2003)

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2002

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See detailEquivariant symbol calculus for differential operators acting on forms
Boniver, Fabien; Hansoul, Sarah; Mathonet, Pierre; Poncin, Norbert

in Letters in Mathematical Physics (2002), 62(3), 219-232

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See detailQuantification par déformation
Poncin, Norbert

Article for general public (2002)

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2001

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See detailPremiers espaces de la cohomologie de l'algèbre de Lie graduée de Nijenhuis-Richardson de l'espace des fonctions d'une variété
Poncin, Norbert

in Bulletin of the Belgian Mathematical Society Simon Stevin (2001), 8(1), 141-146

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2000

See detailCohomology of the Nijenhuis-Richardson graded Lie algebra
Poncin, Norbert

Scientific Conference (2000)

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See detailMécanique des solides déformables
Poncin, Norbert

Learning material (2000)

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1999

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See detailCohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctions
Poncin, Norbert

in Comptes Rendus de l'Académie des Sciences. Série I. Mathématique (1999), 328(9), 789--794

See detailDeformations and cohomologies
Poncin, Norbert

Scientific Conference (1999)

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1998

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See detailTroisième espace de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctions
Poncin, Norbert

in Bulletin de la Société Royale des Sciences de Liège (1998), 67(6), 339--393

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1996

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See detailCompléments d'Analyse
Poncin, Norbert

Learning material (1996)

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1983

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1981

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