Endoscopic Classification of Representations: Inner Forms of Unitary Groups

By Tasho Kaletha, Alberto Mínguez, S. Shin, P. White. 2014

170 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d852618265a5f74ccf52aa0733c4217bf7205a52

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In Applied Mathematics

1. Michael Harris
2. H. Grobner

In Discrete Mathematics and Combinatorics

1. Michael Harris
2. H. Grobner

In Mathematical Physics

1. H. Grobner
2. Michael Harris
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Citations in the corpus

• WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT $L$ -FUNCTIONS (2013, background): “Conversely, it has been known for some time ([31]; see also [30]) that the polarization condition implies that, for any Hermitian space W over K of dimension n, 5 descends”