The degenerate principal series representations of exceptional groups of type \(E_8\) over \(p\)-adic fields

In this paper, we study the reducibility of degenerate principal series of the split, simple, simply-connected exceptional group of type \(E_8\). Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations for almost all cases.

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Publication Details

Journal
Glasnik Matematicki
Published
2024-12-15
DOI
https://doi.org/10.3336/gm.59.2.06
Primary Topic
Advanced Algebra and Geometry
Type
article
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article

The degenerate principal series representations of exceptional groups of type \(E_8\) over \(p\)-adic fields

Avner Segal, Hezi Halawi
Glasnik Matematicki
Advanced Algebra and Geometry
article

The degenerate principal series representations of exceptional groups of type \(E_8\) over \(p\)-adic fields

Avner Segal, Hezi Halawi
article en

Abstract

In this paper, we study the reducibility of degenerate principal series of the split, simple, simply-connected exceptional group of type \(E_8\). Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations for almost all cases.

Glasnik MatematickiVol. 59(2)
Ben-Gurion University of the Negev (IL), Sami Shamoon College of Engineering (IL)
Reduced inequalities
Openalex Percentile: Top 60%
Advanced Algebra and Geometry
DOISourceOpenAlex
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The degenerate principal series representations of exceptional groups of type \(E_8\) over \(p\)-adic fields — Avner Segal, Hezi Halawi · Glasnik Matematicki (2024) | TGRS Research Map | TGRS