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Whittaker Functionals for Exceptional Representations

Sihan Li

Source record

Source: arXiv

Published: Oct 16, 2026

arXiv: 2610.23169

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Source 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.

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