Non-G-Completely Reducible Subgroups of the Exceptional Algebraic Groups

作者：Stewart David I^*

来源：International Mathematics Research Notices, 2014, 2014(22): 6053-6078.

DOI：10.1093/imrn/rnt146

Let G be an exceptional algebraic group defined over an algebraically closed field k of characteristic p>0 and let H be a subgroup of G. Then following Serre we say H is G-completely reducible or G-cr if, whenever H is contained in a parabolic subgroup P of G, then H is in a Levi subgroup of that parabolic. Building on work of Liebeck and Seitz, we find all triples (X, G, p) such that there exists a closed, connected, simple non-G-cr subgroup H <= G with root system X.

• 出版日期2014