On the codimension growth of simple color Lie superalgebras
Rings and Algebras
2016-02-22 v1
Abstract
We study polynomial identities of finite dimensional simple color Lie superalgebras over an algebraically closed field of characteristic zero graded by the product of two cyclic groups of order . We prove that the codimensions of identities grow exponentially and the rate of exponent equals the dimension of the algebra. A similar result is also obtained for graded identities and graded codimensions.
Keywords
Cite
@article{arxiv.1602.06088,
title = {On the codimension growth of simple color Lie superalgebras},
author = {Dušan Pagon and Dušan Repovš and Mikhail Zaicev},
journal= {arXiv preprint arXiv:1602.06088},
year = {2016}
}