ON A FORMULA FOR THE PI-EXPONENT OF LIE ALGEBRAS

DOI10.1142/S0219498813500692zbMath1283.17004arXiv1211.1272OpenAlexW2963021399WikidataQ115245674 ScholiaQ115245674MaRDI QIDQ5746957

Alexei S. Gordienko

Publication date: 11 February 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1272

zbMATH Keywords

Lie algebracodimensionYoung diagramHopf algebraderivationaffine algebraic grouppolynomial identitycocharacter\(H\)-module algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Hopf algebras and their applications (16T05) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (2)

Actions of Ore extensions and growth of polynomialH-identities ⋮ Lie algebras simple with respect to a Taft algebra action

Cites Work

• Cocharacter sequences of algebras with Hopf algebra actions
• Differential identities of semiprime rings
• Graded polynomial identities, group actions, and exponential growth of Lie algebras
• On Identical Relations in Free Polynilpotent Lie Algebras
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras
• Identities of graded algebras and codimension growth
• $ G$-identities of non-associative algebras
• Unnamed Item
• Unnamed Item

This page was built for publication: ON A FORMULA FOR THE PI-EXPONENT OF LIE ALGEBRAS