Minimal star-varieties of polynomial growth and bounded colength

DOI10.1016/j.jpaa.2017.08.005zbMath1416.16022OpenAlexW2748165058MaRDI QIDQ1703593

Thais Silva do Nascimento, Daniela La Mattina, Ana Cristina Vieira

Publication date: 2 March 2018

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.2017.08.005

zbMATH Keywords

polynomial growth\(\ast\)-colengthsstar-varieties

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items

On codimensions of algebras with involution, Codimensions of algebras with additional structures, On multiplicities of cocharacters for algebras with superinvolution, Codimensions of star-algebras and low exponential growth, Some characterizations of algebras with involution with polynomial growth of their codimensions, Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3, Superalgebras with graded involution: classifying minimal varieties of quadratic growth, Minimal \(\ast\)-varieties and minimal supervarieties of polynomial growth, Some results concerning the multiplicities of cocharacters of superalgebras with graded involution, Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths, Superalgebras with graded involution and star-graded colength bounded by 3, Understanding star-fundamental algebras, Superalgebras and algebras with involution: classifying varieties of quadratic growth, Matrix algebras with involution and standard polynomial identities in symmetric variables, Growth of central polynomials of algebras with involution

Cites Work

• Star-polynomial identities: computing the exponential growth of the codimensions
• Finitely generated algebras with involution and multiplicities bounded by a constant.
• Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth.
• Varieties of superalgebras of almost polynomial growth.
• Polynomial codimension growth of algebras with involutions and superinvolutions
• Algebras with involution with linear codimension growth.
• Varieties of almost polynomial growth: classifying their subvarieties.
• Polynomial growth and star-varieties.
• Polynomial growth and identities of superalgebras and star-algebras.
• Wreath products and P.I. algebras
• Cocharacter sequences of algebras with Hopf algebra actions
• Asymptotics for the standard and the Capelli identities.
• PI-algebras with slow codimension growth.
• A star-variety with almost polynomial growth
• Graded algebras with polynomial growth of their codimensions.
• Almost polynomial growth: classifying varieties of graded algebras.
• Characterizing Varieties of Colength ≤4
• Glxgl- representations and ∗-polynomial identities
• A characterization of algebras with polynomial growth of the codimensions
• Classifying the Minimal Varieties of Polynomial Growth
• Unnamed Item
• Unnamed Item
• Unnamed Item