A Multiplicity Formula of K-types
Representation Theory
2021-10-22 v1
Abstract
In this paper, by proving a simple local trace formula for real reductive groups, we prove a multiplicity formula of K-types for all irreducible representations of real reductive groups. This multiplicity formula expresses the K-characters in terms of the Harish-Chandra characters.
Keywords
Cite
@article{arxiv.2110.10744,
title = {A Multiplicity Formula of K-types},
author = {Chen Wan},
journal= {arXiv preprint arXiv:2110.10744},
year = {2021}
}
Comments
39 pages, comments are welcome