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Levchuk, V. M.
2019-07-01T07:26:46Z
2019-07-01T07:26:46Z
2018
Levchuk, V. M. The Niltriangular Subalgebra of the Chevalley Algebra: the Enveloping Algebra, Ideals, and Automorphisms [Текст] / V. M. Levchuk // Doklady Mathematics. — 2018. — Т. 97 (№ 1). — С. 23-27
10645624
https://link.springer.com/article/10.1134/S1064562418010088
https://elib.sfu-kras.ru/handle/2311/110827
Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.
The enveloping algebra of the niltriangular subalgebra NΦ(K) of the Chevalley algebra of type An−1 is the algebra of niltriangular n × n matrices over K. The enveloping algebras R of other types constructed so far are nonassociative. For classical types, an explicit description of automorphisms of the rings R over any commutative associative ring with an identity is given; in the case where K is a field, all ideals in R are also listed. The enumeration of ideals in R for K = GF(q) leads to a solution of a combinatorial problem concerning ideals of the algebras NΦ(K).
The Niltriangular Subalgebra of the Chevalley Algebra: the Enveloping Algebra, Ideals, and Automorphisms
Journal Article
Published Journal Article
23-27
27.17
2019-07-01T07:26:46Z
10.1134/S1064562418010088
Институт математики и фундаментальной информатики
Кафедра алгебры и математической логики
Doklady Mathematics
Q2
Q3


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