Endoscopic Classification of Representations: Inner Forms of Unitary Groups

Tasho Kaletha; Alberto Minguez; Sug Woo Shin; Paul-James White

Endoscopic Classification of Representations: Inner Forms of Unitary Groups

Number Theory 2014-12-04 v3 Representation Theory

Authors: Tasho Kaletha , Alberto Minguez , Sug Woo Shin , Paul-James White

Abstract

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.

Keywords

endoscopic classification unitary groups inner forms automorphic representations irreducible admissible representations Langlands parameters quasi-split

Cite

@article{arxiv.1409.3731,
  title  = {Endoscopic Classification of Representations: Inner Forms of Unitary Groups},
  author = {Tasho Kaletha and Alberto Minguez and Sug Woo Shin and Paul-James White},
  journal= {arXiv preprint arXiv:1409.3731},
  year   = {2014}
}

Comments

220 pages; v3 added acknowledgement of financial support, corrected more typos

Endoscopic Classification of Representations: Inner Forms of Unitary Groups

Abstract

Keywords

Cite

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