Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture |
| |
| Authors: | Alexander Premet |
| |
| Institution: | (1) Department of Mathematics, University of California, 92521 Riverside, CA, USA;(2) Present address: Department of Mathematics, University of Manchester, Oxford Road, M13 9PL Manchester, UK |
| |
| Abstract: | Letg be the Lie algebra of a connected reductive groupG over an algebraically closed field of characteristicp>0. Suppose thatG
(1) is simply connected andp is good for the root system ofG. Ifp=2, suppose in addition thatg admits a nondegenerateG-invariant trace form. LetV be an irreducible and faithfulg-module withp-character   g
*. It is proved in the paper that dimV is divisible byp
1/2dim () where () stands for the orbit of under the coadjoint action ofG.Oblatum 14-III-1994 & 17-XI-1994 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
