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

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

Authors:	Thierry Levasseur

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

Abstract:	Let $\mathfrak{g}$ be a semisimple complex Lie algebra with adjoint group and $\mathcal{D}(\mathfrak{g})$ be the algebra of differential operators with polynomial coefficients on $\mathfrak{g}$ . If $\mathfrak{g}_0$ is a real form of $\mathfrak{g}$ , 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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