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Unramified Whittaker functions for certain Brylinski-Deligne covering groups

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arxiv 1904.12594 v1 pith:ZUZOE3TZ submitted 2019-04-10 math.RT math.NT

Yuanqing Cai This is my paper · ORCID
classification math.RTmath.NT
keywords brylinski-delignecertaincoveringfunctionsgrouprepresentationsunramifiedwhittaker
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For a Brylinski-Deligne covering group of a general linear group, we calculate some values of unramified Whittaker functions for certain representations that are analogous to the theta representations.

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  1. Tensor Product $L$-Functions On Metaplectic Covering Groups of $GL_r$

    math.RT 2019-08 conditional novelty 5.0 of 10

    Theorem 1 proves Suzuki's local integral (2) equals L(π(n) × τ(n), ns − (n−1)/2) for all r<nm, and Section 5 gives conditional global integral representations.

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