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Whittaker Functionals for Exceptional Representations
Abstract
In the study of automorphic forms on covering groups, Kazhdan-Patterson gives a formula that determines when the Whittaker functionals of induced representations can be descended to exceptional representations. In this paper, first, following the original approach given by Kazhdan-Patterson and applying the block-compatible 2-cocycle of Banks-Levy-Sepanski, we fill in several details omitted in the original proof. Secondly, we compare the formula of Kazhdan-Patterson with that of McNamara and Gao, which is formulated in a more general setting.
Related
- Bounds on Whittaker Functions for GL(n)
- Spin Toda systems and N-point spherical Whittaker functions
- Quasi-Whittaker supermodules over Lie superalgebras
- Whittaker modules for the principal W-algebra 𝒲k(sl3) via free field realizations
- Reflection equations and Littlewood identities for spin Hall-Littlewood and q-Whittaker functions
BibTeX
@misc{li2026whittaker,
title = {{Whittaker Functionals for Exceptional Representations}},
author = {Sihan Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23169},
eprint = {2610.23169},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23169},
}
RIS
TY - UNPB
TI - Whittaker Functionals for Exceptional Representations
AU - Sihan Li
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23169
UR - https://arxiv.org/abs/2610.23169
AB - In the study of automorphic forms on covering groups, Kazhdan-Patterson gives a formula that determines when the Whittaker functionals of induced representations can be descended to exceptional representations. In this paper, first, following the original approach given by Kazhdan-Patterson and applying the block-compatible 2-cocycle of Banks-Levy-Sepanski, we fill in several details omitted in the original proof. Secondly, we compare the formula of Kazhdan-Patterson with that of McNamara and Gao, which is formulated in a more general setting.
ER -