Distinguished representations, base change, and reducibility for unitary groups

U. K. Anandavardhanan; C. S. Rajan

Distinguished representations, base change, and reducibility for unitary groups

Number Theory 2007-05-23 v1 Representation Theory

Authors: U. K. Anandavardhanan , C. S. Rajan

Abstract

We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E). As a consequence we characterise reducibility of certain induced representations of U(n,n), and the image of the base change map from U(n) to GL(n,E) in terms of GL(n,F)-distinguishedness.

Keywords

langlands correspondence automorphic representations representation theory of groups

Cite

@article{arxiv.math/0408380,
  title  = {Distinguished representations, base change, and reducibility for unitary groups},
  author = {U. K. Anandavardhanan and C. S. Rajan},
  journal= {arXiv preprint arXiv:math/0408380},
  year   = {2007}
}