On the second cohomology of nilpotent orbits in exceptional Lie algebras |
| |
Authors: | Pralay Chatterjee Chandan Maity |
| |
Affiliation: | 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 |
本文献已被 ScienceDirect 等数据库收录! |
|