THE DEGENERATE PRINCIPAL SERIES REPRESENTATIONS OF EXCEPTIONAL GROUPS OF TYPE E8 OVER p-ADIC FIELDS

Hezi Halawi; Avner Segal

doi:10.3336/gm.59.2.06

THE DEGENERATE PRINCIPAL SERIES REPRESENTATIONS OF EXCEPTIONAL GROUPS OF TYPE E₈ OVER p-ADIC FIELDS

Hezi Halawi
, Avner Segal

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the reducibility of degenerate principal series of the split, 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.

Original language	English
Pages (from-to)	351-405
Number of pages	55
Journal	Glasnik Matematicki
Volume	59
Issue number	2
DOIs	https://doi.org/10.3336/gm.59.2.06
State	Published - 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2024, Croatian Mathematical Society. All rights reserved.

Keywords

degenerate principal series
p-adic groups

Access to Document

10.3336/gm.59.2.06

Cite this

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abstract = "In this paper, we study the reducibility of degenerate principal series of the split, 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.",

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