Some new results on Gröbner-Shirshov bases for Lie algebras and around

L. A. Bokut; Yuqun Chen; Abdukadir Obul

doi:10.1142/S0218196718400027

Some new results on Gröbner-Shirshov bases for Lie algebras and around

L. A. Bokut, Yuqun Chen, Abdukadir Obul

Кафедра дискретной математики и информатики ММФ и СУНЦ

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

We review Gröbner-Shirshov bases for Lie algebras and survey some new results on Gröbner-Shirshov bases for ω-Lie algebras, Gelfand-Dorfman-Novikov algebras, Leibniz algebras, etc. Some applications are given, in particular, some characterizations of extensions of groups, associative algebras and Lie algebras are given.

Язык оригинала	английский
Страницы (с-по)	1403-1423
Число страниц	21
Журнал	International Journal of Algebra and Computation
Том	28
Номер выпуска	8
DOI	https://doi.org/10.1142/S0218196718400027
Состояние	Опубликовано - 1 дек 2018

Доступ к документу

10.1142/S0218196718400027

Link to publication in Scopus

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Цитировать

Bokut, L. A., Chen, Y., & Obul, A. (2018). Some new results on Gröbner-Shirshov bases for Lie algebras and around. International Journal of Algebra and Computation, 28(8), 1403-1423. https://doi.org/10.1142/S0218196718400027

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