A reduction formula for the Dunkl kernel for the root systems of type $A$
Representation Theory
2024-12-17 v1
Abstract
In this paper, we provide a reduction formula for the Dunkl kernel for the root systems of type . The Dunkl kernel for the root system is expressed as an integral involving the Dunkl kernel for the root system . The corresponding reduction formula for the intertwining operator is given.
Cite
@article{arxiv.2412.10866,
title = {A reduction formula for the Dunkl kernel for the root systems of type $A$},
author = {P. Sawyer},
journal= {arXiv preprint arXiv:2412.10866},
year = {2024}
}