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 › рецензирование

1 Цитирования (Scopus)

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

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10.1142/S0218196718400027

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author = "Bokut, {L. A.} and Yuqun Chen and Abdukadir Obul",

year = "2018",

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Some new results on Gröbner-Shirshov bases for Lie algebras and around. / Bokut, L. A.; Chen, Yuqun; Obul, Abdukadir.

В: International Journal of Algebra and Computation, Том 28, № 8, 01.12.2018, стр. 1403-1423.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AU - Bokut, L. A.

AU - Chen, Yuqun

AU - Obul, Abdukadir

PY - 2018/12/1

Y1 - 2018/12/1

N2 - 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.

AB - 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.

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KW - Gelfand-Dorfman-Novikov algebra

KW - Gröbner-Shirshov basis

KW - Leibniz algebra

KW - Lie algebra

KW - ω -algebra

KW - Omega-algebra

KW - Grobner-Shirshov basis

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JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 8

ER -

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

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