On Multiplicity Formula for Spherical Varieties
Representation Theory
2019-08-08 v3
Abstract
In this paper, we propose a conjectural multiplicity formula for general spherical varieties. For all the cases where a multiplicity formula has been proved, including Whittaker model, Gan-Gross-Prasad model, Ginzburg-Rallis model, Galois model and Shalika model, we show that the multiplicity formula in our conjecture matches the multiplicity formula that has been proved. We also give a proof of this multiplicity formula in two new cases.
Keywords
Cite
@article{arxiv.1905.07066,
title = {On Multiplicity Formula for Spherical Varieties},
author = {Chen Wan},
journal= {arXiv preprint arXiv:1905.07066},
year = {2019}
}
Comments
Add the proof of the multiplicity formula of K-types for GL(n) and for all the complex reductive groups