
Journal of Lie Theory 22 (2012), No. 4, 11691179 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 [ Fulltextpdf (258 KB)] for subscribers only. 