On the codimension growth of almost nilpotent Lie algebras

DOI10.1007/s11856-012-0120-2zbMath1316.17003arXiv1602.02940OpenAlexW2069499016MaRDI QIDQ1955734

Dušan D. Repovš, Mikhail V. Zaicev

Publication date: 18 June 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02940

zbMATH Keywords

codimensionscodimension growthspecial Lie algebrasLie algebras with polynomial identityalmost nilpotent Lie algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• An example of a variety of Lie algebras with a fractional exponent
• On the codimension growth of finite-dimensional Lie algebras
• Graded polynomial identities of matrices
• Existence of identities in \(A \otimes B\)
• Codimension growth of special simple Jordan algebras
• Exponents of varieties of lie algebras with a nilpotent commutator subalgebra
• Simple and semisimple Lie algebras and codimension growth
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