Classifying algebras with graded involutions or superinvolutions with multiplicities of their cocharacter bounded by one

DOI10.1007/s10468-020-09948-yzbMath1486.16028OpenAlexW3001432425MaRDI QIDQ2040628

Fabrizio Martino

Publication date: 14 July 2021

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-020-09948-y

zbMATH Keywords

multiplicitiessuperinvolutioncocharactersgraded involution

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (1)

Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths

Cites Work

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• Standard polynomials and matrices with superinvolutions
• Varieties of algebras with superinvolution of almost polynomial growth
• Super-cocharacters, star-cocharacters and multiplicities bounded by one.
• Superinvolutions on upper-triangular matrix algebras
• Ordinary and graded cocharacter of the Jordan algebra of \(2 \times 2\) upper triangular matrices
• Existence of identities in \(A \otimes B\)
• Identities of *-superalgebras and almost polynomial growth
• A note on cocharacter sequence of Jordan upper triangular matrix algebra
• Cocharacters of group graded algebras and multiplicities bounded by one
• Computing the ℤ₂-Cocharacter of 3 × 3 Matrices of Odd Degree

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