On the second cohomology of nilpotent orbits in exceptional Lie algebras

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• 作者：Pralay Chatterjee ; ^{pralay@imsc.res.in} ; Chandan Maity ; ^{cmaity@imsc.res.in}
• 关键词：57T15 ; 17B08
• 刊名：Bulletin des Sciences Mathématiques
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：141
• 期：1
• 页码：10-24
• 全文大小：355 K
• 卷排序：141

文摘

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.