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

DOI10.1007/978-3-030-63111-6_12zbMath1494.16023OpenAlexW3044229132MaRDI QIDQ824447

David Levi da Silva Macedo, Plamen Koshlukov

Publication date: 15 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-63111-6_12

zbMATH Keywords

polynomial identitiescodimension growthidentities of representations of Lie algebrasPI exponent

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Universal enveloping algebras of Lie algebras (16S30)

Cites Work

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• Non-integrality of the PI-exponent of special Lie algebras
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• Homogeneous polynomial identities
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• Basis for identities of the algebra of upper triangular matrices
• The representation theory of the symmetric groups
• T-ideals with power growth of the codimensions are Specht
• Exponential codimension growth of PI algebras: an exact estimate
• Weak polynomial identities for the matrix algebra of order two
• 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
• On Identical Relations in Free Polynilpotent Lie Algebras
• Weak polynomial identities for a vector space with a symmetric bilinear form
• An Application of Representation Theory to PI-Algebras
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras
• The Polynomial Identities of the Grassman Algebra
• Growth in varieties of Lie algebras
• Lie superalgebras

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