Metabelian Lie and perm algebras Full article
| Journal |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Output data | Year: 2024, Volume: 23, Number: 4, Article number : 2450065, Pages count : 12 DOI: 10.1142/S0219498824500658 | ||||
| Tags | Gröbner bases; Lie and Jordan elements; Perm algebras; polynomial identities | ||||
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Abstract:
It is well known that any Lie algebra can be embedded into an associative algebra. We prove that any metabelian Lie algebra can be embedded into an algebra in the subvariety of perm algebras, i.e. associative algebras with the identity abc - acb = 0. In addition, a technical method to construct the universal enveloping perm algebra for a metabelian Lie algebra is given.
Cite:
Mashurov F.A.
, Sartayev B.K.
Metabelian Lie and perm algebras
Journal of Algebra and its Applications. 2024. V.23. N4. 2450065 :1-12. DOI: 10.1142/S0219498824500658 WOS Scopus РИНЦ OpenAlex
Metabelian Lie and perm algebras
Journal of Algebra and its Applications. 2024. V.23. N4. 2450065 :1-12. DOI: 10.1142/S0219498824500658 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Oct 12, 2021 |
| Accepted: | Nov 7, 2022 |
| Published online: | Dec 13, 2022 |
| Published print: | Apr 25, 2024 |
Identifiers:
| Web of science: | WOS:000898170200003 |
| Scopus: | 2-s2.0-85133866468 |
| Elibrary: | 57497033 |
| OpenAlex: | W4308805619 |