The Weyl Integration Model for KAK decomposition of Reductive Lie Group

Details The Weyl Integration Model for KAK decomposition of Reductive Lie Group The Weyl Integration Model for KAK decomposition of Reductive Lie Group

2005-04-11

arxiv.org/abs/math/0504220v1

Mathematics

Group Theory

10 pages

Scientific paper

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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