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

Olivier Taïbi

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Source: Crossref

Published: Dec 3, 2018

DOI: 10.4171/jems/852

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Source abstract

Let \mathbf 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 \mathbf G has discrete series and outside of which \mathbf G is quasi-split. We prove Arthur’s multiplicity formula for automorphic representations of \mathbf G having algebraic regular infinitesimal character at all places in S .

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Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups — Mathematical Frontier Network