Codimensions of identities of solvable Lie superalgebras
Abstract
We study identities of Lie superalgebras over a field of characteristic zero. We construct a series of examples of finite-dimensional solvable Lie superalgebras with a non-nilpotent commutator subalgebra for which PI-exponent of codimension growth exists and is an integer number.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2024
- DOI:
- 10.48550/arXiv.2407.17122
- arXiv:
- arXiv:2407.17122
- Bibcode:
- 2024arXiv240717122Z
- Keywords:
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- Mathematics - Rings and Algebras;
- 17B01
- E-Print:
- Izv. Math. 88:4 (2024), 639-654