Graded polynomial identities, group actions, and exponential growth of Lie algebras
Rings and Algebras
2013-03-11 v3
Abstract
Consider a finite dimensional Lie algebra L with an action of a finite group G over a field of characteristic 0. We prove the analog of Amitsur's conjecture on asymptotic behavior for codimensions of polynomial G-identities of L. As a consequence, we prove the analog of Amitsur's conjecture for graded codimensions of any finite dimensional Lie algebra graded by a finite Abelian group.
Keywords
Cite
@article{arxiv.1112.6245,
title = {Graded polynomial identities, group actions, and exponential growth of Lie algebras},
author = {Alexey Sergeevich Gordienko},
journal= {arXiv preprint arXiv:1112.6245},
year = {2013}
}
Comments
26 pages; minor misprints were corrected