Generic cuspidal representations of $U(2,1)$

Santosh Nadimpalli

Generic cuspidal representations of $U(2,1)$

Representation Theory 2019-08-12 v3 Number Theory

Authors: Santosh Nadimpalli

Abstract

Let $F$ be any non-Archimedean local field with a Galois involution $\sigma$ and $F_0$ be the fixed field for the action of $\sigma$ . When the residue characteristic of $F_0$ is odd, using the explicit construction of cuspidal representations of classical groups by Stevens, we classify generic cuspidal representations of $U(2,1)(F/F_0)$ .

Keywords

automorphic representations representation theory of groups group representations

Cite

@article{arxiv.1904.05693,
  title  = {Generic cuspidal representations of $U(2,1)$},
  author = {Santosh Nadimpalli},
  journal= {arXiv preprint arXiv:1904.05693},
  year   = {2019}
}

Comments

Preliminary version

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