Finite Generation of Lie Derived Powers of Skew Lie Algebras

Autor:	Adel Alahmadi, Fawziah Alharthi
Rok vydání:	2022
Předmět:	Algebra and Number Theory Applied Mathematics Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::General Literature Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
Zdroj:	Algebra Colloquium. 29:217-220
ISSN:	0219-1733 1005-3867
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0b3010eb9f84ecb4379163e3a51e485d https://doi.org/10.1142/s1005386722000177 Zobrazit plný text záznamu