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arXiv · 1912.07408

R-group and Whittaker space of some genuine representations

Fan Gao
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Abstract

For a unitary unramified genuine principal series representation of a covering group, we study the associated R-group. We prove a formula relating the R-group to the dimension of the Whittaker space for the irreducible constituents of such a principal series representation. Moreover, for saturated covers of a semisimple simply-connected group, we also propose a simpler conjectural formula for such dimensions. This latter conjectural formula is verified in several cases, including covers of the symplectic groups.

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BibTeXRIS

Fan Gao. 2019-12-16. R-group and Whittaker space of some genuine representations. https://doi.org/10.1017/s1474748021000128

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