Pauli gradings on Lie superalgebras and graded codimension growth
Rings and Algebras
2017-01-25 v1
Abstract
We introduce grading on certain finite dimensional simple Lie superalgebras of type by elementary abelian 2-group. This grading gives rise to Pauli matrices and is a far generalization of -grading on Lie algebra of -traceless matrices.We use this grading for studying numerical invariants of polyomial identities of Lie superalgebras. In particular, we compute graded PI-exponent corresponding to Pauli grading.
Keywords
Cite
@article{arxiv.1701.06844,
title = {Pauli gradings on Lie superalgebras and graded codimension growth},
author = {Dušan D. Repovš and Mikhail V. Zaicev},
journal= {arXiv preprint arXiv:1701.06844},
year = {2017}
}