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arXiv · 1903.06069

Kazhdan-Lusztig representations and Whittaker space of some genuine representations

Fan Gao
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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.

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BibTeXRIS

Fan Gao. 2019-03-14. Kazhdan-Lusztig representations and Whittaker space of some genuine representations. https://arxiv.org/abs/1903.06069

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