English

Spherical inversion for a small $K$-type on the split real Lie group of type $G_2$

Representation Theory 2019-11-15 v4

Abstract

We give an explicit formula for the Harish-Chandra cc-function for a small KK-type on a split real Lie group of type G2G_2. As an application we give an explicit formula for spherical inversion for this small KK-type.

Keywords

Cite

@article{arxiv.1812.08963,
  title  = {Spherical inversion for a small $K$-type on the split real Lie group of type $G_2$},
  author = {Hiroshi Oda and Nobukazu Shimeno},
  journal= {arXiv preprint arXiv:1812.08963},
  year   = {2019}
}

Comments

14 pages, 1 figure