Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth.

DOI10.1016/J.JPAA.2014.05.026zbMath1317.16021OpenAlexW2006249476MaRDI QIDQ479293

Ana Cristina Vieira, Rafael Bezerra Dos Santos, Thais Silva do Nascimento

Publication date: 5 December 2014

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.2014.05.026

zbMATH Keywords

Grassmann algebrasupper triangular matricescodimension sequencescodimension growthvarieties of superalgebrasgraded polynomial identitiesalgebras with polynomial identitygraded cocharacters

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) ``Super (or ``skew) structure (16W55)

Related Items (6)

Minimal star-varieties of polynomial growth and bounded colength ⋮ Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3 ⋮ Minimal \(\ast\)-varieties and minimal supervarieties of polynomial growth ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths ⋮ Superalgebras with graded involution and star-graded colength bounded by 3 ⋮ Superalgebras and algebras with involution: classifying varieties of quadratic growth

Cites Work

• Unnamed Item
• Unnamed Item
• Varieties of superalgebras of almost polynomial growth.
• Varieties of almost polynomial growth: classifying their subvarieties.
• Matrix algebras of polynomial codimension growth.
• Wreath products and P.I. algebras
• Cocharacter sequences of algebras with Hopf algebra actions
• Colength sequence of some T-ideals
• A characterization of P. I. algebras with bounded multiplicities of the cocharacters
• The graded identities of upper triangular matrices of size two
• PI-algebras with slow codimension growth.
• Supervarieties of small graded colength.
• Polynomial identities on superalgebras: classifying linear growth.
• POLYNOMIAL GROWTH OF THE^*-CODIMENSIONS AND YOUNG DIAGRAMS
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• Characterizing Varieties of Colength ≤4
• Glxgl- representations and ∗-polynomial identities
• Asymptotics for the multiplicities in the cocharacters of some PI-algebras
• A characterization of algebras with polynomial growth of the codimensions
• Finitely Generated PI-Superalgebras with Bounded Multiplicities of the Cocharacters

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