Supertraces and matrices over Grassmann algebras

DOI10.1006/aima.1994.1066zbMath0819.16023OpenAlexW1990698853MaRDI QIDQ1341144

Allan Berele

Publication date: 2 January 1995

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1994.1066

zbMATH Keywords

matrix algebratrace identitiesexterior algebrapolynomial identitiesalgebras of invariantssuperinvolutionPI-algebrasupertracesgeneral linear superalgebra\(T\)-idealsgeneric supertrace algebrasgraded PIinvariant theory of the general linear groupmatrices over Grassmann algebra

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Superalgebras (17A70) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Related Items (11)

Polynomial identities of algebras in positive characteristic. ⋮ Colength sequences for matrices over Grassmann algebras. ⋮ On the characteristic polynomial of supermatrices ⋮ GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD ⋮ T-ideals and superAzumaya algebras ⋮ Using Hook Schur Functions to Compute Matrix Cocharacters ⋮ Graded identities for tensor products of matrix (super)algebras over the Grassmann algebra ⋮ Cayley-Hamilton theorem for \(2\times 2\) matrices over the Grassmann algebra ⋮ \(\mathbb{Z}_{k+l}\times\mathbb{Z}_2\)-graded polynomial identities for \(M_{k,l}(E)\otimes E\). ⋮ Colength sequences for Kemer algebras. ⋮ Graded polynomial identities of matrices

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