Endoscopic Classification of Representations: Inner Forms of Unitary Groups
Tasho Kaletha, Alberto Mínguez, Sug Woo Shin, Paul-James White
Abstract
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Tasho Kaletha, Alberto Mínguez, Sug Woo Shin, Paul-James White
Abstract
Open-access reader
We classify the automorphic representations (over number fields) and the irreducible admissible representations (over local fields) of unitary groups which are not quasi-split, under the assumption that the same is known for quasi-split unitary groups. The classification of automorphic representations is given in terms of automorphic representations of general linear groups. The classification of irreducible admissible representations is given in terms of Langlands parameters.
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We classify the automorphic representations (over number fields) and the irreducible admissible representations (over local fields) of unitary groups which are not quasi-split, under the assumption that the same is known for quasi-split unitary groups. The classification of automorphic representations is given in terms of automorphic representations of general linear groups. The classification of irreducible admissible representations is given in terms of Langlands parameters.
Key concepts: Unitary state, Group (periodic table), Pure mathematics, Mathematics, Psychology, Algebra over a field, Geology, Political science