Codimensions of identities of solvable Lie superalgebras
Rings and Algebras
2024-08-19 v1
Abstract
We study identities of Lie superalgebras over a field of characteristic zero. We construct a series of examples of finite-dimensional solvable Lie superalgebras with a non-nilpotent commutator subalgebra for which PI-exponent of codimension growth exists and is an integer number.
Cite
@article{arxiv.2407.17122,
title = {Codimensions of identities of solvable Lie superalgebras},
author = {M. V. Zaicev and D. D. Repovš},
journal= {arXiv preprint arXiv:2407.17122},
year = {2024}
}