JournalsjemsVol. 21, No. 3pp. 839–871

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

  • Olivier Taïbi

    École Normale Supérieure de Lyon, France
Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups cover

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Abstract

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

Cite this article

Olivier Taïbi, Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups. J. Eur. Math. Soc. 21 (2018), no. 3, pp. 839–871

DOI 10.4171/JEMS/852