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On the second cohomology of nilpotent orbits in exceptional Lie algebras

Research paper by Pralay Chatterjee, Chandan Maity

Indexed on: 08 Nov '16Published on: 08 Nov '16Published in: arXiv - Mathematics - Group Theory



Abstract

In this paper we consider non-compact non-complex exceptional Lie algebras, and compute the dimensions of the second cohomology groups for most of the nilpotent orbits. For the rest of cases of nilpotent orbits, which are not covered in the above computations, we obtain upper bounds for the dimensions of the second cohomology groups.