On the unramified principal series of GL(3) over non-archimedean local fields

Uri Onn; Pooja Singla

doi:10.1016/j.jalgebra.2013.08.022

On the unramified principal series of GL(3) over non-archimedean local fields

Uri Onn^*, Pooja Singla

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

Let F be a non-archimedean local field and let O be its ring of integers. We give a complete description of the irreducible constituents of the restriction of the unramified principal series representations of GL₃(F) to GL3(O).

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Journal of Algebra
Volume	397
DOIs	https://doi.org/10.1016/j.jalgebra.2013.08.022
Publication status	Published - Jan 2014
Externally published	Yes

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title = "On the unramified principal series of GL(3) over non-archimedean local fields",

abstract = "Let F be a non-archimedean local field and let O be its ring of integers. We give a complete description of the irreducible constituents of the restriction of the unramified principal series representations of GL3(F) to GL3(O).",

keywords = "Maximal compact subgroup, Representations of p-adic groups, Unramified principal series",

author = "Uri Onn and Pooja Singla",

year = "2014",

month = jan,

doi = "10.1016/j.jalgebra.2013.08.022",

language = "English",

volume = "397",

pages = "1--17",

journal = "Journal of Algebra",

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T1 - On the unramified principal series of GL(3) over non-archimedean local fields

AU - Onn, Uri

AU - Singla, Pooja

PY - 2014/1

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N2 - Let F be a non-archimedean local field and let O be its ring of integers. We give a complete description of the irreducible constituents of the restriction of the unramified principal series representations of GL3(F) to GL3(O).

AB - Let F be a non-archimedean local field and let O be its ring of integers. We give a complete description of the irreducible constituents of the restriction of the unramified principal series representations of GL3(F) to GL3(O).

KW - Maximal compact subgroup

KW - Representations of p-adic groups

KW - Unramified principal series

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U2 - 10.1016/j.jalgebra.2013.08.022

DO - 10.1016/j.jalgebra.2013.08.022

M3 - Article

SN - 0021-8693

VL - 397

SP - 1

EP - 17

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On the unramified principal series of GL(3) over non-archimedean local fields

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