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

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

2012-03-27

arxiv.org/abs/1203.6018v1

Mathematics

Group Theory

Final version

Scientific paper

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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