Graded PI-exponents of simple Lie superalgebras

DOI10.1007/s11512-015-0224-0zbMath1408.17002arXiv1603.06192OpenAlexW3098363796MaRDI QIDQ283982

Mikhail V. Zaicev, Dušan D. Repovš

Publication date: 17 May 2016

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06192

zbMATH Keywords

simple Lie superalgebrasgraded codimensionscodimension growthexponent of PI-algebragraded polynomial identity

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) Simple, semisimple, reductive (super)algebras (17B20) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (4)

Codimension growth of simple Jordan superalgebras ⋮ Identities of graded simple algebras ⋮ Pauli gradings on Lie superalgebras and graded codimension growth ⋮ Codimension growth of algebras with adjoint unit

Cites Work

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• A four-dimensional simple algebra with fractional PI-exponent
• On codimension growth of finite-dimensional Lie superalgebras
• On Identical Relations in Free Polynilpotent Lie Algebras
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras
• Growth in varieties of Lie algebras

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