KW-sections for Vinberg's θ-groups of exceptional type

Levy, Paul (2013) KW-sections for Vinberg's θ-groups of exceptional type. Journal of Algebra, 389. pp. 78-97. ISSN 0021-8693

[img]
Preview
PDF (kwsection)
kwsection.pdf - Accepted Version

Download (376kB)

Abstract

Let k be an algebraically closed field of characteristic not equal to 2 or 3, let G be an almost simple algebraic group of type F4, G2 or D4 and let \theta be an automorphism of G of finite order, coprime to the characteristic. In this paper we consider the \theta-group (in the sense of Vinberg) associated to these choices; we classify the positive rank automorphisms via Kac diagrams and we describe the little Weyl group in each case. As a result we show that all -groups in types G2, F4 and D4 have KW-sections, confirming a conjecture of Popov in these cases.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Algebra
Additional Information:
The final, definitive version of this article has been published in the Journal, Journal of Algebra 389, 2013, © ELSEVIER.
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
ID Code:
70780
Deposited By:
Deposited On:
15 Sep 2014 09:11
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Dec 2020 02:22