Invariant distributions supported on the nilpotent cone of a semisimple Lie algebra期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Invariant distributions supported on the nilpotent cone of a semisimple Lie algebra

Authors:	Thierry Levasseur

Affiliation:	Département de Mathématiques, Université de Brest, 29285 Brest, France

Abstract:	Let be a semisimple complex Lie algebra with adjoint group and be the algebra of differential operators with polynomial coefficients on . If $mathfrak{g}_0$ is a real form of , we give the decomposition of the semisimple $mathcal{D}(mathfrak{g})^G$ -module of invariant distributions on $mathfrak{g}_0$ supported on the nilpotent cone.

Keywords:	Semisimple Lie algebra invariant distribution nilpotent orbit Weyl group representation

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