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

1 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

Access to Document

10.1007/s11856-020-2015-y

Cite this

@article{2086cfc59e394b7cba963ac66c182f94,

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",

note = "Publisher Copyright: {\textcopyright} 2020, The Hebrew University of Jerusalem.",

year = "2020",

month = jul,

day = "1",

doi = "10.1007/s11856-020-2015-y",

language = "English",

volume = "238",

pages = "537--569",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - The degenerate principal series representations of exceptional groups of type E 6 over p-adic fields

AU - Halawi, Hezi

AU - Segal, Avner

PY - 2020/7/1

Y1 - 2020/7/1

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 - http://www.scopus.com/inward/record.url?scp=85085357007&partnerID=8YFLogxK

U2 - 10.1007/s11856-020-2015-y

DO - 10.1007/s11856-020-2015-y

M3 - Article

AN - SCOPUS:85085357007

SN - 0021-2172

VL - 238

SP - 537

EP - 569

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this