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On the second cohomology of nilpotent orbits in exceptional Lie algebras
Authors:Pralay Chatterjee  Chandan Maity
Institution:The Institute of Mathematical Sciences, HBNI, C.I.T. Campus, Tharamani, Chennai 600113, India
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.
Keywords:57T15  17B08  Nilpotent orbits  Exceptional Lie algebras  Second cohomology
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