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A theorem of Mœglin
and Waldspurger for covering groups
Shiv Prakash Patel |
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Vol. 273 (2015), No. 1, 225–239
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Abstract |
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Let E be a nonarchimedean local field of characteristic zero and residual characteristic p. Let G be a connected reductive group defined over E and π an irreducible admissible representation of G(E). A result of C. Mœglin and J.-L. Waldspurger (for p≠2) and S. Varma (for p=2) states that the leading coefficient in the character expansion of π at the identity element of G(E) gives the dimension of a certain space of degenerate Whittaker forms. In this paper we generalize this result of Mœglin and Waldspurger to the setting of covering groups of G(E). |
Keywords
covering groups, character expansion, degenerate Whittaker
forms
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Mathematical Subject Classification 2010
Primary: 22E50
Secondary: 11F70, 11S37
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Milestones
Received: 10 February 2014
Revised: 13 April 2014
Accepted: 19 April 2014
Published: 6 December 2014
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Authors |
| Shiv Prakash Patel | |
| School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Colaba Mumbai 400005 India |
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