On codimension growth of finite-dimensional Lie superalgebras

DOI10.1112/jlms/jdr059zbMath1271.17003OpenAlexW2010385621MaRDI QIDQ2880401

Antonio Giambruno, Mikhail V. Zaicev

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1112/jlms/jdr059

zbMATH Keywords

Lie superalgebrassimple algebrascodimension growthrepresentations of the symmetric groupPI exponent

Mathematics Subject Classification ID

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

Related Items (23)

Codimension growth for weak polynomial identities, and non-integrality of the PI exponent ⋮ Graded PI-exponents of simple Lie superalgebras ⋮ Codimension growth of simple Jordan superalgebras ⋮ Numerical Invariants of Identities of Unital Algebras ⋮ Exponential growth of codimensions of identities of algebras with unity ⋮ ℤ2-graded codimensions of unital algebras ⋮ Sturmian words and overexponential codimension growth ⋮ Identities of graded simple algebras ⋮ Non integral exponential growth of central polynomials ⋮ Graded identities of some simple Lie superalgebras ⋮ Graded codimensions of Lie superalgebra \(b(2)\) ⋮ Pauli gradings on Lie superalgebras and graded codimension growth ⋮ Codimension growth of solvable Lie superalgebras ⋮ Identities of unitary finite-dimensional algebras. ⋮ Combinatorics on binary words and codimensions of identities in left nilpotent algebras ⋮ Codimension growth of algebras with adjoint unit ⋮ Non-integrality of the PI-exponent of special Lie algebras ⋮ On H-simple not necessarily associative algebras ⋮ On existence of PI-exponents of unital algebras ⋮ On identities of infinite dimensional Lie superalgebras ⋮ On existence of PI-exponent of algebras with involution ⋮ A four-dimensional simple algebra with fractional PI-exponent ⋮ Codimension growth for weak polynomial identities, and non-integrality of the PI exponent

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