- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (5)
- Authors
- Levchuk, Vladimir M.; Suleimanova, Galina S.
- Contact information
- Levchuk, Vladimir M.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Suleimanova, Galina S.: Siberian Federal University Krasnoyarsk, Russian Federation;
- Keywords
- Chevalley algebra; niltriangular subalgebra; homomorphisms of root systems
- Abstract
Graph automorphisms of a Chevalley group correspond to each type of reduced indecompos- able root system , 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 exaclty when 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 gives new representations of niltriangular subalgebras, using also the unique series of unreduced indecomposable root system of type BCn.
- Pages
- 679–682
- DOI
- 10.17516/1997-1397-2022-15-5-679-682
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/149162
Journal of Siberian Federal University. Mathematics & Physics / On Centralizers of the Graph Automorphisms of Niltriangular Subalgebras of Chevalley Algebras
Full text (.pdf)