![]() Kwok, Stephen ![]() ![]() ![]() Report (2015) Detailed reference viewed: 116 (14 UL)![]() Di Brino, Gennaro ![]() ![]() ![]() E-print/Working paper (2015) Detailed reference viewed: 261 (63 UL)![]() Poncin, Norbert ![]() Speeches/Talks (2015) Detailed reference viewed: 82 (9 UL)![]() Poncin, Norbert ![]() Learning material (2015) Detailed reference viewed: 106 (2 UL)![]() Poncin, Norbert ![]() Presentation (2014, December 17) Detailed reference viewed: 107 (13 UL)![]() Jubin, Benoît Michel ![]() ![]() E-print/Working paper (2014) Detailed reference viewed: 115 (28 UL)![]() Covolo, Tiffany ![]() ![]() E-print/Working paper (2014) Detailed reference viewed: 121 (16 UL)![]() Covolo, Tiffany ![]() ![]() E-print/Working paper (2014) Detailed reference viewed: 333 (88 UL)![]() Poncin, Norbert ![]() Presentation (2014) Detailed reference viewed: 152 (12 UL)![]() Khudaverdyan, David ![]() ![]() ![]() in Theory and Applications of Categories (2014), 29(12), 332-370 Detailed reference viewed: 191 (41 UL)![]() Poncin, Norbert ![]() Presentation (2014) Detailed reference viewed: 152 (11 UL)![]() ; ; Poncin, Norbert ![]() in Journal of Lie Theory (2013), 23(1), 35--54 Detailed reference viewed: 107 (9 UL)![]() ; Khudaverdyan, David ![]() ![]() in Journal of Geometric Mechanics (2013), 5(2), 185--213 Detailed reference viewed: 226 (27 UL)![]() Bonavolontà, Giuseppe ![]() ![]() in Journal of Geometry and Physics (2013), 73 Detailed reference viewed: 238 (29 UL)![]() ; Poncin, Norbert ![]() 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 Detailed reference viewed: 178 (13 UL)![]() Jubin, Benoît Michel ![]() ![]() 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 Detailed reference viewed: 164 (13 UL)![]() Covolo, Tiffany ![]() ![]() E-print/Working paper (2012) Detailed reference viewed: 535 (166 UL)![]() Covolo, Tiffany ![]() ![]() 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 ▲] Detailed reference viewed: 234 (54 UL)![]() Poncin, Norbert ![]() E-print/Working paper (2012) Detailed reference viewed: 195 (24 UL) |
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