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arXiv · 1203.6018

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

Indranil Biswas·Pralay Chatterjee
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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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Indranil Biswas, Pralay Chatterjee. 2012-03-27. On the exactness of Kostant-Kirillov form and the second cohomology of nilpotent orbits. https://arxiv.org/abs/1203.6018

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