City Research Online

Quasi-hereditary quotients of finite Chevalley groups and Frobenius kernels

De Visscher, M. (2005). Quasi-hereditary quotients of finite Chevalley groups and Frobenius kernels. The Quarterly Journal of Mathematics, 56(1), pp. 111-121. doi: 10.1093/qmath/hah025

Abstract

Let G be a semisimple connected simply connected linear algebraic group over an algebraically closed field k of characteristic p > 0. Denote by Gn its nth Frobenius kernel and by G(pn) its finite subgroup of Fpn-rational points. In this paper we find quotients of the algebra Un = k[Gn]* and of the group algebra kG(pn) whose module category is equivalent to a (highest weight) subcategory of the category of rational G-modules.

Publication Type: Article
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
SWORD Depositor:
[thumbnail of qh.pdf]
Preview
PDF
Download (221kB) | Preview

Export

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login