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math.GR2012★ 2 cited
On the maximal solvable subgroups of semisimple algebraic groups
Hassan Azad, Indranil Biswas, Pralay Chatterjee
Let be a semisimple affine algebraic group defined over a field of characteristic zero. We describe all the maximal connected solvable subgroups of , defined over , u…
math.GR2012
On the exactness of Kostant-Kirillov form and the second cohomology of nilpotent orbits
Indranil Biswas, Pralay Chatterjee
We give a criterion for the Kostant-Kirillov form on an adjoint orbit in a real semisimple Lie group to be exact. We explicitly compute the second cohomology of all the nilpotent a…