The Weyl Integration Model for KAK decomposition of Reductive Lie Group

• DOI: 10.48550/arxiv.math/0504220
• Publication Date: 2005-01-01
• Authors: Zhiguang Hu; Kuihua Yan
• Keywords: 22E15; FOS: Mathematics; 58C35; Group Theory (math.GR); 0101 mathematics; Mathematics - Group Theory; 01 natural sciences; 22E15; 58C35

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