English

The Degenerate Principal Series Representations of Exceptional Groups of Type $E_8$ over $p$-adic Fields

Representation Theory 2022-06-14 v1

Abstract

In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type E8E_8. Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations for almost all cases.

Keywords

Cite

@article{arxiv.2206.05667,
  title  = {The Degenerate Principal Series Representations of Exceptional Groups of Type $E_8$ over $p$-adic Fields},
  author = {Hezi Halawi and Avner Segal},
  journal= {arXiv preprint arXiv:2206.05667},
  year   = {2022}
}