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The Weyl Integration Model for KAK decomposition of Reductive Lie Group

Zhi-guang Hu·Kui-hua Yan
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Abstract

The Weyl integration model presented by An and Wang can be effectively used to reduce the integration over $G$-space. In this paper, we construct an especial Weyl integration model for KAK decomposition of Reductive Lie Group and obtain an integration formula which implies that the integration of $L^1$-integrable function over reductive Lie group $G$ can be carried out by first integrating over each conjugacy class and then integrating over the set of conjugacy classes.

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BibTeXRIS

Zhi-guang Hu, Kui-hua Yan. 2005-04-11. The Weyl Integration Model for KAK decomposition of Reductive Lie Group. https://arxiv.org/abs/math/0504220

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