Group graded algebras and multiplicities bounded by a constant.

DOI10.1016/J.JPAA.2012.06.005zbMath1288.16036OpenAlexW1973715427MaRDI QIDQ1946167

Antonio Giambruno, Alessio Cirrito

Publication date: 18 April 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.06.005

zbMATH Keywords

group graded algebrasrepresentations of symmetric groupscocharacter sequencesgraded codimensionsalgebras with polynomial identitycocharacter multiplicities

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (8)

Cocharacters of group graded algebras and multiplicities bounded by one ⋮ Graded polynomial identities for the upper triangular matrix algebra over a finite field ⋮ Differential identities and polynomial growth of the codimensions ⋮ On multiplicities of cocharacters for algebras with superinvolution ⋮ Finitely generated algebras with involution and multiplicities bounded by a constant. ⋮ Some results concerning the multiplicities of cocharacters of superalgebras with graded involution ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths ⋮ Graded algebras with polynomial growth of their codimensions.

Cites Work

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