Endoscopic character identities for metaplectic groups

Author:

Luo Caihua1

Affiliation:

1. Department of Mathematics , National University of Singapore , 10 Lower Kent Ridge Road 119076 , Singapore , Singapore

Abstract

Abstract In this paper, we prove the conjectural endoscopic character identities for tempered representations of metaplectic groups Mp ( 2 n ) {\mathrm{Mp}({2n})} based on the formalism of endoscopy theory by J. Adams, D. Renard and W. W. Li.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Reference39 articles.

1. J. Adams, Genuine representations of the metaplectic group and epsilon factors, Proceedings of the International Congress of Mathematicians. Vol. 1, 2 (Zürich 1994), Birkhäuser, Basel (1995), 721–731.

2. J. Adams, Lifting of characters on orthogonal and metaplectic groups, Duke Math. J. 92 (1998), no. 1, 129–178.

3. J. Adams, Discrete series and characters of the component group, On the stabilization of the trace formula, Stab. Trace Formula Shimura Var. Arith. Appl. 1, International Press, Somerville (2011), 369–387.

4. J. Adams and D. Barbasch, Genuine representations of the metaplectic group, Compos. Math. 113 (1998), no. 1, 23–66.

5. J. Adams, D. Barbasch and D. A. Vogan, Jr., The Langlands classification and irreducible characters for real reductive groups, Progr. Math. 104, Birkhäuser, Boston 1992.

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