Finitely Generated PI-Superalgebras with Bounded Multiplicities of the Cocharacters

DOI10.1081/AGB-200063306zbMath1076.16024MaRDI QIDQ5466650

Fabio Cesare Otera

Publication date: 25 August 2005

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

zbMATH Keywords

superalgebrasmultiplicitiesalgebras with polynomial identitycocharacterspolynomial superidentities

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) 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) ``Super (or ``skew) structure (16W55)

Related Items (7)

Differential identities and polynomial growth of the codimensions ⋮ Supervarieties of small graded colength. ⋮ On multiplicities of cocharacters for algebras with superinvolution ⋮ Finitely generated algebras with involution and multiplicities bounded by a constant. ⋮ Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. ⋮ Some results concerning the multiplicities of cocharacters of superalgebras with graded involution ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths

Cites Work

• Wreath products and P.I. algebras
• Cocharacter sequences of algebras with Hopf algebra actions
• On codimension growth of finitely generated associative algebras
• A characterization of P. I. algebras with bounded multiplicities of the cocharacters
• The graded identities of upper triangular matrices of size two
• Actions of Commutative Hopf Algebras
• Identities of associative algebras
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• Asymptotics for the multiplicities in the cocharacters of some PI-algebras
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