English

Local newforms for generic representations of unramified odd unitary groups and Fundamental Lemma

Number Theory 2022-06-22 v1 Representation Theory

Abstract

In this paper, we establish the theory of local newforms for irreducible tempered generic representations of unramified odd unitary groups over a non-archimedean local field. For the proof, we prove an analogue of the fundamental lemma for our compact groups.

Keywords

Cite

@article{arxiv.2206.09515,
  title  = {Local newforms for generic representations of unramified odd unitary groups and Fundamental Lemma},
  author = {Hiraku Atobe and Masao Oi and Seidai Yasuda},
  journal= {arXiv preprint arXiv:2206.09515},
  year   = {2022}
}

Comments

25 pages