Journal of Lie Theory 22 (2012), No. 4, 1169--1179
Copyright Heldermann Verlag 2012
On the Maximal Solvable Subgroups of Semisimple Algebraic Groups
Hassan Azad
Dept. of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
hassanaz@kfupm.edu.sa
Indranil Biswas
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
indranil@math.tifr.res.in
Pralay Chatterjee
Institute of Mathematical Sciences, C.I.T. Campus Taramani, Chennai 600113, India
pralay@imsc.res.in
Let G be a semisimple affine algebraic group defined over a field k of characteristic zero. We describe all the maximal connected solvable subgroups of G, defined over k, up to conjugation by rational points of G.
Keywords: Algebraic groups, maximal solvable subgroup, split torus, parabolics.
MSC: 20G15, 22E25
[ Fulltext-pdf (258 KB)] for subscribers only.