Journal
LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 520, Issue -, Pages 134-150Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2017.01.023
Keywords
Polynomial identities; Lie superalgebras; Graded algebras; Codimensions; Exponential growth; Pauli gradings
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Funding
- Slovenian Research Agency grant [P1-0292-0101, J1-7025-0101, J1-6721-0101, J1-5435-0101]
- Russian Science Foundation grant [16-11-10013]
- Russian Science Foundation [16-11-10013] Funding Source: Russian Science Foundation
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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 (Z2 x Z2)-grading on Lie algebra of (2 x 2)-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. (C) 2017 Elsevier Inc. All rights reserved.
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