Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.17516/1997-1397-2022-15-5-679-682

Ключевые слова: chevalley algebra, homomorphisms of root systems, niltriangular subalgebra

Аннотация: Graph automorphisms of a Chevalley group correspond to each type of reduced indecompos-able root system Φ, which Coxeter graph has a non-trivial symmetry. It is well-known, that a Chevalley algebra and its niltriangular subalgebra N has a graph automorphism θ exaclty when Φ is of type An, Dn or E6. We note connections with homomorphisms of root systems introduced in 1982. The main theorem on the centralizers in N of the automorphism θ gives new representations of niltriangular subalgebras, using also the unique series of unreduced indecomposable root system of type BCn. © Siberian Federal University. All rights reserved.

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 15, Is. 5

Номера страниц: 679-682

ISSN журнала: 19971397

Издатель: Siberian Federal University

• Levchuk V.M. (Siberian Federal University, Krasnoyarsk, Russian Federation)
• Suleimanova G.S. (Siberian Federal University, Krasnoyarsk, Russian Federation)

• Scopus
• Ядро РИНЦ (eLIBRARY.RU)