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On the identities of the matrices over the Grassmann algebra

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Publication:1335101
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DOI10.1006/jabr.1994.1257zbMath0826.16020OpenAlexW2059257115MaRDI QIDQ1335101

Angel P. Popov

Publication date: 28 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1257


zbMATH Keywords

matrix algebrassuperalgebrasGrassmann algebrasmultiplicitiescocharacter sequences\(\mathbb{Z}_ 2\)-graded identities\(T\)- idealsideals of polynomial identitiesirreducible \(S_ n\)-characters


Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) 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) Identities other than those of matrices over commutative rings (16R40) ``Super (or ``skew) structure (16W55)


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POLYNOMIAL IDENTITIES OF ⋮ Standard polynomials are characterized by their degree and exponent. ⋮ New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings ⋮ On the identities of the Grassmann algebras in characteristic \(p>0\) ⋮ Polynomial Identities of M2,1(G) ⋮ On the characteristic polynomial of supermatrices



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