The twisted Satake isomorphism and Casselman-Shalika formula
Representation Theory
2013-08-02 v2
Abstract
For an arbitrary split adjoint group we identify the unramified Whittaker space with the space of skew-invariant functions on the lattice of coweights and deduce from it the Casselman-Shalika formula.
Keywords
Cite
@article{arxiv.1307.7510,
title = {The twisted Satake isomorphism and Casselman-Shalika formula},
author = {Nadya Gurevich},
journal= {arXiv preprint arXiv:1307.7510},
year = {2013}
}
Comments
9 pages. The previous version has been replaced. Thanks to Yiannis Sakellaridis for his comments