Kazhdan-Lusztig representations and Whittaker space of some genuine representations
Representation Theory
2019-11-04 v3 Number Theory
Abstract
We prove a formula for the dimension of Whittaker functionals of irreducible constituents of a regular unramified genuine principal series for covering groups. The formula explicitly relates such dimension to the Kazhdan-Lusztig representations associated with certain right cells of the Weyl group. We also state a refined version of the formula, which is proved under some natural assumption. The refined formula is also verified unconditionally in several important cases.
Keywords
Cite
@article{arxiv.1903.06069,
title = {Kazhdan-Lusztig representations and Whittaker space of some genuine representations},
author = {Fan Gao},
journal= {arXiv preprint arXiv:1903.06069},
year = {2019}
}