Genuine representations of the metaplectic group
by
David Renard
Université de Poitiers

On one hand, many features in representation theory of real algebraic reductive groups are no longer available for non-linear groups. One example is the Langlands-Shelstad theory of stable conjugacy and endoscopic transfer, which has its root in automorphic form theory. Another example is Vogan's Kazhdan-Lusztig algorithm to compute characters of irreducible admissible representations of such groups, and Vogan's duality of characters. On the other hand, non-linear groups, specially the metaplectic group, appear in dual pairs correspondences which play an important role in automorphic form theory. We will explain how these theories can be extended to the non-linear group Mp(2n, R), and their connections with dual pairs correspondences. Part of this is joint work with P.Trapa.

http://wallis.univ-poitiers.fr/~renard

Date received: March 22, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caex-45.