The Degenerate Principal Series Representations of Exceptional Groups of Type E₈ over p-adic Fields

2022/06/12 by Halawi, Hezi, Segal, Avner
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2206.05667

Abstract

In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type E₈. Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations for almost all cases.

Related

• The Structure of Degenerate Principal Series Representations of Exceptional Groups of Type E₆ over p-adic Fields
• Poles, Residues and Siegel-Weil Identities of Degenerate Eisenstein Series on Split Exceptional Groups of Type E_n
• Distinguished principal series representations for GLn over a p-adic field
• Rigid vectors in p-adic principal series representations
• Isolatedness of the minimal representation and minimal decay of exceptional groups