Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773112 | Linear Algebra and its Applications | 2017 | 21 Pages |
Abstract
We introduce grading on certain finite dimensional simple Lie superalgebras of type P(t) by elementary abelian 2-group. This grading gives rise to Pauli matrices and is a far generalization of (Z2ÃZ2)-grading on Lie algebra of (2Ã2)-traceless matrices.We use this grading for studying numerical invariants of polynomial identities of Lie superalgebras. In particular, we compute graded PI-exponent corresponding to Pauli grading.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Dušan D. Repovš, Mikhail V. Zaicev,