Standard polynomials and matrices with superinvolutions

DOI10.1016/j.laa.2016.04.016zbMath1336.15008OpenAlexW2336753305MaRDI QIDQ286152

Antonio Giambruno, Antonio Ioppolo, Fabrizio Martino

Publication date: 20 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.04.016

zbMATH Keywords

minimal degreepolynomial identitysuperinvolution

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Matrix equations and identities (15A24) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Multilinear algebra, tensor calculus (15A69)

Related Items (12)

Minimal degree of identities of matrix algebras with additional structures ⋮ Minimal degree of standard identities of matrix algebras with symplectic graded involution ⋮ The exponent for superalgebras with superinvolution ⋮ On multiplicities of cocharacters for algebras with superinvolution ⋮ Some characterizations of algebras with involution with polynomial growth of their codimensions ⋮ Superinvolutions on upper-triangular matrix algebras ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Varieties of algebras with pseudoinvolution and polynomial growth ⋮ Classifying algebras with graded involutions or superinvolutions with multiplicities of their cocharacter bounded by one ⋮ Matrix algebras with involution and standard polynomial identities in symmetric variables ⋮ Growth of central polynomials of algebras with involution ⋮ Nilpotent superderivations in prime superalgebras

Cites Work

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