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R-group and Whittaker space of some genuine representations, II

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Abstract

For a unitary unramified genuine principal series representation of a covering group of a simply-connected group, we studied in a previous paper a conjectural formula relating its R-group to the dimension of the Whittaker space of the irreducible constituents. In this paper, the formula is refined and also verified for several important cases.

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Acknowledgements

The author would like to thank the referees for their careful reading and several very helpful comments. The work is partially supported by NSFC-12171422.

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Correspondence to Fan Gao.

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Gao, F. R-group and Whittaker space of some genuine representations, II. Res. number theory 8, 62 (2022). https://doi.org/10.1007/s40993-022-00364-3

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