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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

Indranil Biswas
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

Pralay Chatterjee
Institute of Mathematical Sciences, C.I.T. Campus Taramani, Chennai 600113, India

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

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