On the cayley-hamilton equation in the supercase

DOI10.1080/00927879908826430zbMath0945.16038OpenAlexW2020754415MaRDI QIDQ4238610

Issai Kantor, Ivan M. Trishin

Publication date: 13 July 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826430

zbMATH Keywords

Young diagramssupertracesCayley-Hamilton equationsuperalgebras of matrices

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Related Items

Quantum matrix algebras of BMW type: structure of the characteristic subalgebra, Generic super-orbits in \(gl(mn)^*\) and their braided counterparts, Asymptotic codimensions of \(M_k(E)\), Quantum matrix algebras of the \(\text{GL}(m|n)\) type: the structure and spectral parameterization of the characteristic subalgebra, On reduction of elements of the full matrix superalgebra to a block-diagonal form by conjugation, Berezinians, exterior powers and recurrent sequences, On representations of the cayley-hamilton equation in the supercase

Cites Work

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• On a concept of determinant in the supercase
• The algebra of polynomial invariants of the adjoint representation of the Lie superalgebra gl(m,n)