Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778812 | Bulletin des Sciences Mathématiques | 2017 | 11 Pages |
Abstract
In [1], the second de Rham cohomology groups of nilpotent orbits in all the complex simple Lie algebras are described. 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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Pralay Chatterjee, Chandan Maity,