Identities of *-superalgebras and almost polynomial growth

DOI10.1080/03081087.2015.1049933zbMath1342.16019OpenAlexW1580888858MaRDI QIDQ2787612

Antonio Giambruno, Ana Cristina Vieira, Rafael Bezerra Dos Santos

Publication date: 4 March 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1049933

zbMATH Keywords

T-idealspolynomial identitiesforbidden subalgebrassupercodimension sequencesgraded involutionsalgebras of almost polynomial growthfinite dimensional superalgebrassuperalgebras with involution

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55)

Related Items (27)

Minimal degree of identities of matrix algebras with additional structures ⋮ Trace identities on diagonal matrix algebras ⋮ Varieties of algebras with superinvolution of almost polynomial growth ⋮ Minimal degree of standard identities of matrix algebras with symplectic graded involution ⋮ Identities and cocharacters of the algebra of \(3 \times 3\) matrices with non-trivial grading and transpose graded involution ⋮ *-Graded Capelli polynomials and their asymptotics ⋮ Capelli identities on algebras with involution or graded involution ⋮ Differential identities and varieties of almost polynomial growth ⋮ On unitary algebras with graded involution of quadratic growth ⋮ Trace identities and almost polynomial growth ⋮ Varieties of group graded algebras with graded involution of almost polynomial growth ⋮ On multiplicities of cocharacters for algebras with superinvolution ⋮ Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3 ⋮ On the factorability of the ideal of \(\ast\)-graded polynomial identities of minimal varieties of PI \(\ast\)-superalgebras ⋮ \(\ast\)-Superalgebras and exponential growth ⋮ Characterizations of *-superalgebras of polynomial growth ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Superalgebras with graded involution: classifying minimal varieties of quadratic growth ⋮ Minimal varieties of PI-superalgebras with graded involution ⋮ Varieties of algebras with pseudoinvolution and polynomial growth ⋮ Unitary superalgebras with graded involution or superinvolution of polynomial growth ⋮ Algebras with involution and multiplicities bounded by a constant ⋮ Polynomial codimension growth of algebras with involutions and superinvolutions ⋮ Classifying algebras with graded involutions or superinvolutions with multiplicities of their cocharacter bounded by one ⋮ Some results concerning the multiplicities of cocharacters of superalgebras with graded involution ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths ⋮ Superalgebras with graded involution and star-graded colength bounded by 3

Cites Work

• Unnamed Item
• Group graded algebras and almost polynomial growth.
• Properties of hook Schur functions with applications to P. I. algebras
• Applications of hook Young diagrams to P.I. algebras
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• The graded identities of upper triangular matrices of size two
• Gradings on the algebra of upper triangular matrices and their graded identities.
• A star-variety with almost polynomial growth
• Existence of identities in \(A \otimes B\)
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
• A characterization of algebras with polynomial growth of the codimensions

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