The degenerate principal series representations of exceptional groups of type E 6 over p-adic fields

Hezi Halawi; Avner Segal

doi:10.1007/s11856-020-2015-y

The degenerate principal series representations of exceptional groups of type E ₆ over p-adic fields

Hezi Halawi, Avner Segal

Department of Mathematics

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

2 Scopus citations

Abstract

In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type E₆. Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations.

Original language	English
Pages (from-to)	537-569
Number of pages	33
Journal	Israel Journal of Mathematics
Volume	238
Issue number	2
DOIs	https://doi.org/10.1007/s11856-020-2015-y
State	Published - 1 Jul 2020

ASJC Scopus subject areas

General Mathematics

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10.1007/s11856-020-2015-y

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title = "The degenerate principal series representations of exceptional groups of type E 6 over p-adic fields",

abstract = "In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type E6. Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations.",

author = "Hezi Halawi and Avner Segal",

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AU - Segal, Avner

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N2 - In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type E6. Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations.

AB - In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type E6. Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations.

UR - https://www.scopus.com/pages/publications/85085357007

U2 - 10.1007/s11856-020-2015-y

DO - 10.1007/s11856-020-2015-y

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EP - 569

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

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The degenerate principal series representations of exceptional groups of type E ₆ over p-adic fields

Abstract

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