References of "Poncin, Norbert 50002880"
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See detailMathematician - Job of the Year 2014
Poncin, Norbert UL

Speeches/Talks (2015)

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See detailGéométrie (lieux géométriques et courbes paramétrées)
Poncin, Norbert UL

Learning material (2015)

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See detailZ_2^n Supergeometry
Poncin, Norbert UL

Presentation (2014, December 17)

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

E-print/Working paper (2014)

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

E-print/Working paper (2014)

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

E-print/Working paper (2014)

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See detailDerived Geometry and Applications
Poncin, Norbert UL

Presentation (2014)

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

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

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See detailAlgebraic geometry over differential operators
Poncin, Norbert UL

Presentation (2014)

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

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

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

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

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

in Journal of Geometry and Physics (2013), 73

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

Report (2013)

Abstracts and list of participants of the Workshop on "Higher Algebras and Lie Infinity Homotopy Theory" organized in June 2013 at the University of Luxembourg by Vladimir Dotsenko and Norbert Poncin

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

Report (2013)

Poster, abstracts, and list of participants of the International Workshop on Higher Lie Theory organized in December 2013 at the University of Luxembourg by Benoît Jubin and Norbert Poncin

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See detailDifferential Geometry
Poncin, Norbert UL

Learning material (2012)

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See detailLectures on Supergeometry
Covolo, Tiffany UL; Poncin, Norbert UL

E-print/Working paper (2012)

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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 detailFiber bundles and connections
Poncin, Norbert UL

E-print/Working paper (2012)

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