Nontempered A-packets of G2: Liftings from SL2

Wee Teck Gan; Nadya Gurevich

doi:10.1353/ajm.2006.0040

Nontempered A-packets of G₂: Liftings from SL₂

Wee Teck Gan, Nadya Gurevich

Department of Mathematics

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

14 Scopus citations

Abstract

We give a construction of a family of nontempered (local and global) Arthur packets of the exceptional group G₂. One particular local packet contains a reducible representation. Using a Rankin-Selberg integral, we show that the subspace of the discrete spectrum associated to each packet is a full near equivalence class and this implies the Arthur multiplicity formula for these packets.

Original language	English
Pages (from-to)	1105-1185
Number of pages	81
Journal	American Journal of Mathematics
Volume	128
Issue number	5
DOIs	https://doi.org/10.1353/ajm.2006.0040
State	Published - 1 Oct 2006

ASJC Scopus subject areas

General Mathematics

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10.1353/ajm.2006.0040

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title = "Nontempered A-packets of G2: Liftings from SL2",

abstract = "We give a construction of a family of nontempered (local and global) Arthur packets of the exceptional group G2. One particular local packet contains a reducible representation. Using a Rankin-Selberg integral, we show that the subspace of the discrete spectrum associated to each packet is a full near equivalence class and this implies the Arthur multiplicity formula for these packets.",

author = "Gan, \{Wee Teck\} and Nadya Gurevich",

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N2 - We give a construction of a family of nontempered (local and global) Arthur packets of the exceptional group G2. One particular local packet contains a reducible representation. Using a Rankin-Selberg integral, we show that the subspace of the discrete spectrum associated to each packet is a full near equivalence class and this implies the Arthur multiplicity formula for these packets.

AB - We give a construction of a family of nontempered (local and global) Arthur packets of the exceptional group G2. One particular local packet contains a reducible representation. Using a Rankin-Selberg integral, we show that the subspace of the discrete spectrum associated to each packet is a full near equivalence class and this implies the Arthur multiplicity formula for these packets.

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Nontempered A-packets of G₂: Liftings from SL₂

Abstract

ASJC Scopus subject areas

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