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Classification of Strongly Positive Representations of Even General Unitary Groups

Representation Theory 2019-05-31 v1 Number Theory

Abstract

We explicitly construct the structure of Jacquet modules of parabolically induced representations of even unitary groups and even general unitary groups over a pp-adic field FF of characteristic different than two. As an application, we obtain a classification of strongly positive discrete series representations of those groups.

Keywords

Cite

@article{arxiv.1905.13067,
  title  = {Classification of Strongly Positive Representations of Even General Unitary Groups},
  author = {Yeansu Kim and Ivan Matic},
  journal= {arXiv preprint arXiv:1905.13067},
  year   = {2019}
}