Codimension growth for weak polynomial identities, and non-integrality of the PI exponent

DOI10.1017/S0013091520000243zbMath1468.17005OpenAlexW4250875227MaRDI QIDQ5145109

Plamen Koshlukov, David Levi da Silva Macedo

Publication date: 20 January 2021

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091520000243

zbMATH Keywords

codimensionscodimension growthweak identitiesnon-integer PI exponent

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

Bound for the cocharacters of the identities of irreducible representations of $\mathfrak{sl}_2(\mathbb{C})$ ⋮ Weak polynomial identities and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-integrality of the PI-exponent of special Lie algebras
• Cocharacter sequences of algebras with Hopf algebra actions
• On codimension growth of finitely generated associative algebras
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Existence of identities in \(A \otimes B\)
• Codimensions of polynomial identities of representations of Lie algebras
• On codimension growth of finite-dimensional Lie superalgebras
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras
• Lie superalgebras

This page was built for publication: Codimension growth for weak polynomial identities, and non-integrality of the PI exponent