Defining relations and Gröbner-Shirshov bases of Poisson algebras as of conformal modules Full article
| Journal |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Output data | Year: 2022, Volume: 21, Number: 7, Article number : 2250138, Pages count : DOI: 10.1142/S0219498822501389 | ||||
| Tags | Conformal algebra; Gröbner-Shirshov basis; Poisson algebra | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
We study the relation between Poisson algebras and representations of Lie conformal algebras. We establish a Gröbner-Shirshov basis theory framework for modules over associative conformal algebras and apply this technique to Poisson algebras considered as conformal modules over appropriate associative conformal envelopes of current Lie conformal algebras. As a result, we obtain a setting for the calculation of a Gröbner-Shirshov basis in a Poisson algebra.
Cite:
Kolesnikov P.S.
, Panasenko A.S.
Defining relations and Gröbner-Shirshov bases of Poisson algebras as of conformal modules
Journal of Algebra and its Applications. 2022. V.21. N7. 2250138 . DOI: 10.1142/S0219498822501389 WOS Scopus РИНЦ OpenAlex
Defining relations and Gröbner-Shirshov bases of Poisson algebras as of conformal modules
Journal of Algebra and its Applications. 2022. V.21. N7. 2250138 . DOI: 10.1142/S0219498822501389 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Dec 30, 2020 |
| Accepted: | Feb 15, 2021 |
| Published online: | Mar 26, 2021 |
| Published print: | Jul 6, 2022 |
Identifiers:
| Web of science: | WOS:000820925200013 |
| Scopus: | 2-s2.0-85103473073 |
| Elibrary: | 46786908 |
| OpenAlex: | W3135149930 |
Citing:
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