On the local Langlands correspondence for quasi-split even orthogonal groups

Hiraku Atobe; Wee Teck Gan

On the local Langlands correspondence for quasi-split even orthogonal groups

Number Theory 2016-02-04 v1 Representation Theory

Authors: Hiraku Atobe , Wee Teck Gan

Abstract

In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split O_{2n} established by Arthur. We give two applications: Prasad's conjecture and Gross--Prasad conjecture for O_{n}. Also, we discuss the Arthur conjecture for O_{2n}, and establish the Arthur multiplicity formula for O_{2n}.

Keywords

local Langlands correspondence quasi-split even orthogonal group O_{2n} Arthur conjecture Prasad conjecture Gross-Prasad conjecture Arthur multiplicity formula

Cite

@article{arxiv.1602.01297,
  title  = {On the local Langlands correspondence for quasi-split even orthogonal groups},
  author = {Hiraku Atobe and Wee Teck Gan},
  journal= {arXiv preprint arXiv:1602.01297},
  year   = {2016}
}

Comments

49 pages

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