Super-cocharacters, star-cocharacters and multiplicities bounded by one.

DOI10.1007/S00229-008-0243-2zbMath1167.16015OpenAlexW1973223826MaRDI QIDQ1014804

Sergey Mishchenko, Antonio Giambruno

Publication date: 29 April 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0243-2

zbMATH Keywords

algebras with involutionsuperalgebraslattices of varietiesT-idealsgraded identitiescocharacter sequencesvarieties of algebrasalgebras with polynomial identityrepresentations of hyperoctahedral groupsstar-cocharacterssuper-cocharacters

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55)

Related Items (6)

Cocharacters of group graded algebras and multiplicities bounded by one ⋮ On \(*\)-cocharacters of \(M_{1,1}(E)\). ⋮ Finitely generated algebras with involution and multiplicities bounded by a constant. ⋮ Algebras with involution and multiplicities bounded by a constant ⋮ Classifying algebras with graded involutions or superinvolutions with multiplicities of their cocharacter bounded by one ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths

Cites Work

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• Glxgl- representations and ∗-polynomial identities
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• Exponential growth for codimensions of some p. i. algebras

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