English

The Degenerate Principal Series Representations of Exceptional Groups of Type $E_7$ over $p$-adic Fields

Representation Theory 2021-01-27 v1

Abstract

In this paper, we study the degenerate principal series of a split, simply-connected, simple p-adic group of type E7E_7. We determine the points of reducibility and the maximal semi-simple subrepresentation at each point.

Keywords

Cite

@article{arxiv.1911.12570,
  title  = {The Degenerate Principal Series Representations of Exceptional Groups of Type $E_7$ over $p$-adic Fields},
  author = {Hezi Halawi and Avner Segal},
  journal= {arXiv preprint arXiv:1911.12570},
  year   = {2021}
}