English

The Weyl Integration Model for KAK decomposition of Reductive Lie Group

Group Theory 2007-05-23 v1

Abstract

The Weyl integration model presented by An and Wang can be effectively used to reduce the integration over GG-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 L1L^1-integrable function over reductive Lie group GG can be carried out by first integrating over each conjugacy class and then integrating over the set of conjugacy classes.

Keywords

Cite

@article{arxiv.math/0504220,
  title  = {The Weyl Integration Model for KAK decomposition of Reductive Lie Group},
  author = {Zhi-guang Hu and Kui-hua Yan},
  journal= {arXiv preprint arXiv:math/0504220},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:17:59.229Z