Twisted immanant and matrices with anticommuting entries

DOI10.1080/03081087.2015.1112343zbMath1346.15006arXiv1504.04689OpenAlexW2964019815MaRDI QIDQ5741233

Minoru Itoh

Publication date: 22 July 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04689

zbMATH Keywords

symmetric functionsymmetric groupexterior algebraalternating groupimmanant

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Exterior algebra, Grassmann algebras (15A75)

Related Items

Immanants of unitary matrices and their submatrices

Cites Work

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• A new proof of the Amitsur-Levitski identity
• The adjoint representation inside the exterior algebra of a simple Lie algebra
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