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arXiv · 2407.17122

Codimensions of identities of solvable Lie superalgebras

M. V. Zaicev·D. D. Repovš
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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.

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M. V. Zaicev, D. D. Repovš. 2024-07-24. Codimensions of identities of solvable Lie superalgebras. https://doi.org/10.4213/im9560e

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