Some results concerning the multiplicities of cocharacters of superalgebras with graded involution

DOI10.1016/j.laa.2020.02.015zbMath1439.16028OpenAlexW3007775311MaRDI QIDQ2310406

Antonio Ioppolo

Publication date: 6 April 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2020.02.015

zbMATH Keywords

multiplicitiescocharacterscolengthsgraded involutions

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (3)

Superalgebras with graded involution: classifying minimal varieties of quadratic growth ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths ⋮ Nilpotent superderivations in prime superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Varieties of algebras with superinvolution of almost polynomial growth
• Finitely generated algebras with involution and multiplicities bounded by a constant.
• Polynomial codimension growth of algebras with involutions and superinvolutions
• Representability of reduced free algebras
• The theory of Lie superalgebras. An introduction
• A characterization of P. I. algebras with bounded multiplicities of the cocharacters
• Minimal star-varieties of polynomial growth and bounded colength
• Group graded algebras and multiplicities bounded by a constant.
• Supervarieties of small graded colength.
• A star-variety with almost polynomial growth
• On multiplicities of cocharacters for algebras with superinvolution
• Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions
• Graded algebras with polynomial growth of their codimensions.
• Existence of identities in \(A \otimes B\)
• POLYNOMIAL GROWTH OF THE^*-CODIMENSIONS AND YOUNG DIAGRAMS
• Identities of *-superalgebras and almost polynomial growth
• Polynomial identities with involution, superinvolutions and the Grassmann envelope
• Graded Involutions on Upper-triangular Matrix Algebras
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• Group Gradings on Matrix Algebras
• Superalgebras with graded involution and star-graded colength bounded by 3
• Graded Brauer Groups.
• Finitely Generated PI-Superalgebras with Bounded Multiplicities of the Cocharacters
• Characterizations of *-superalgebras of polynomial growth
• Group gradings on associative algebras

This page was built for publication: Some results concerning the multiplicities of cocharacters of superalgebras with graded involution