Higher trace and Berezinian of matrices over a Clifford algebra

DOI10.1016/j.geomphys.2012.07.004zbMath1308.15023arXiv1109.5877OpenAlexW2090376751MaRDI QIDQ451054

Tiffany Covolo, Valentin Ovsienko, Norbert Poncin

Publication date: 26 September 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5877

zbMATH Keywords

\((\mathbb{Z}_2)^n\)-graded commutative algebraClifford linear algebraDieudonné determinantgraded Bereziniangraded determinantgraded traceLiouville's formulaquaternionic determinants

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Supermanifolds and graded manifolds (58A50) Superalgebras (17A70) Clifford algebras, spinors (15A66) Determinants and determinant bundles, analytic torsion (58J52) Graded rings and modules (associative rings and algebras) (16W50) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

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