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 homomorpПоказать полностьюhisms 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