Gelfand–Dorfman algebras, derived identities, and the Manin product of operads Научная публикация
| Журнал |
Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X |
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| Вых. Данные | Год: 2019, Том: 539, Страницы: 260-284 Страниц : 25 DOI: 10.1016/j.jalgebra.2019.07.034 | ||||||
| Ключевые слова | Differential algebra; Gelfand–Dorfman algebra; Identity; Operad; Poisson algebra | ||||||
| Авторы |
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| Организации |
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Реферат:
Gelfand–Dorfman bialgebras (GD-algebras) are nonassocia-
tive systems with two bilinear operations satisfying a series
of identities that express Hamiltonian property of an opera-
tor in the formal calculus of variations. The paper is devoted
to the study of GD-algebras related with differential Pois-
son algebras. As a byproduct, we obtain a general description
of identities that hold for operations a > b = d(a)b and
a < b = ad(b) on a (non-associative) differential algebra with
a derivation d.
Библиографическая ссылка:
Kolesnikov P.S.
, Sartayev B.
, Orazgaliev A.
Gelfand–Dorfman algebras, derived identities, and the Manin product of operads
Journal of Algebra. 2019. V.539. P.260-284. DOI: 10.1016/j.jalgebra.2019.07.034 WOS Scopus OpenAlex
Gelfand–Dorfman algebras, derived identities, and the Manin product of operads
Journal of Algebra. 2019. V.539. P.260-284. DOI: 10.1016/j.jalgebra.2019.07.034 WOS Scopus OpenAlex
Даты:
| Опубликована online: | 13 авг. 2019 г. |
Идентификаторы БД:
| Web of science: | WOS:000489677400011 |
| Scopus: | 2-s2.0-85070878878 |
| OpenAlex: | W2921364368 |