Geodesic
Codimensions of identities of solvable Lie superalgebras
Izvestiya. Mathematics , Tome 88 (2024) no. 4, pp. 639-654

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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 non-nilpotent commutator subalgebra for which the PI-exponent of codimension growth exists and is an integer number.
Keywords: identities, codimensions, Lie superalgebras, PI-exponent. 
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     title = {Codimensions of identities of solvable {Lie} superalgebras},
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M. V. Zaicev; D. D. Repovš. Codimensions of identities of solvable Lie superalgebras. Izvestiya. Mathematics , Tome 88 (2024) no. 4, pp. 639-654. http://geodesic.mathdoc.fr/item/IM2_2024_88_4_a2/