References of "Poncin, Norbert 50002880"
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See detailGraded Algebra and Geometry
Covolo, Tiffany UL; Ovsienko, Valentin; Poncin, Norbert UL

Report (2012)

Abstracts and list of participants of the Workshop on "Graded Algebra and Geometry" organized in December 2012 at the University of Luxembourg by Tiffany Covolo, Valentin Ovsienko, and Norbert Poncin

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

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

We define the notions of trace, determinant and, more generally, Berezinian of matrices over a (Z_2)^n-graded commutative associative algebra A. The applications include a new approach to the classical ... [more ▼]

We define the notions of trace, determinant and, more generally, Berezinian of matrices over a (Z_2)^n-graded commutative associative algebra A. The applications include a new approach to the classical theory of matrices with coefficients in a Clifford algebra, in particular of quaternionic matrices. In a special case, we recover the classical Dieudonné determinant of quaternionic matrices, but in general our quaternionic determinant is different. We show that the graded determinant of purely even (Z_2)^n-graded matrices of degree 0 is polynomial in its entries. In the case of the algebra A = H of quaternions, we calculate the formula for the Berezinian in terms of a product of quasiminors in the sense of Gelfand, Retakh, and Wilson. The graded trace is related to the graded Berezinian (and determinant) by a (Z_2)^n-graded version of Liouville’s formula. [less ▲]

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See detailGeometry of Manifolds and Mathematical Physics
Poncin, Norbert UL

Report (2011)

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

E-print/Working paper (2011)

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

in Theory and Applications of Categories (2011), 25

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See detailHigher Loday Algebras
Poncin, Norbert UL

Scientific Conference (2011)

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

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

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See detailLoday algebroids
Poncin, Norbert UL

Scientific Conference (2011)

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

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

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See detailHigher categorified algebras versus truncated homotopy algebras
Poncin, Norbert UL

Presentation (2010)

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

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

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See detailEquivariant quantization of orbifolds
Poncin, Norbert UL

Scientific Conference (2010)

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

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

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

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

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See detailStrongly homotopy Leibniz algebras
Poncin, Norbert UL

Scientific Conference (2009)

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

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

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

E-print/Working paper (2009)

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

in Universitatis Iagellonicae Acta Mathematica (2009)

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