Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups
classification
🧮 math.NT
math.RT
keywords
arthurformulagroupinnermultiplicityorthogonalplacesspecial
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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.
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