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On the exactness of Kostant-Kirillov form and the second cohomology of nilpotent orbits

Published 27 Mar 2012 in math.GR and math.SG | (1203.6018v1)

Abstract: 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 adjoint orbits in every complex simple Lie algebras.

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