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- W4225412926 abstract "Let [Formula: see text] be a finitely generated associative algebra over a field of characteristic different from 2. Herstein asked when the Lie algebra [Formula: see text] is finitely generated. Recently, it was shown that for a finitely generated nil algebra [Formula: see text] all derived powers of [Formula: see text] are finitely generated Lie algebras. Let [Formula: see text] be the Lie algebra of skew-symmetric elements of an associative algebra with involution. We consider all derived powers of the Lie algebra [Formula: see text] and prove that for any finitely generated associative nil algebra with an involution, all derived powers of [Formula: see text] are finitely generated Lie algebras." @default.
- W4225412926 created "2022-05-05" @default.
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- W4225412926 date "2022-04-30" @default.
- W4225412926 modified "2023-09-23" @default.
- W4225412926 title "Finite Generation of Lie Derived Powers of Skew Lie Algebras" @default.
- W4225412926 doi "https://doi.org/10.1142/s1005386722000177" @default.
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