Тип публикации: статья из журнала

Год издания: 2018

Идентификатор DOI: 10.1134/S1064562418010088

Аннотация: The enveloping algebra of the niltriangular subalgebra NI broken vertical bar(K) of the Chevalley algebra of type A (n-1) is the algebra of niltriangular n x 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 RПоказать полностьюover 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 NI broken vertical bar(K).

Журнал: DOKLADY MATHEMATICS

Выпуск журнала: Vol. 97, Is. 1

Номера страниц: 23-27

ISSN журнала: 10645624

Место издания: NEW YORK

Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER

• Levchuk V.M. (Siberian Fed Univ, Inst Math & Comp Sci, Krasnoyarsk 660041, Russia)

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