English

Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups

Number Theory 2015-10-29 v1 Representation Theory

Abstract

Let G be a special orthogonal group or an inner form of a symplectic group over a number field F such that there exists a non-empty set S of real places of F at which G has discrete series and outside of which G is quasi-split. We prove Arthur's multiplicity formula for automorphic representations of G having algebraic regular infinitesimal character at all places in S.

Keywords

Cite

@article{arxiv.1510.08395,
  title  = {Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups},
  author = {Olivier Taïbi},
  journal= {arXiv preprint arXiv:1510.08395},
  year   = {2015}
}

Comments

33 pages, comments welcome