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On local lifts from G2(ℝ) to Sp6(ℝ) and F4(ℝ)

Identifieur interne : 000972 ( Main/Merge ); précédent : 000971; suivant : 000973

On local lifts from G2(ℝ) to Sp6(ℝ) and F4(ℝ)

Auteurs : Hung Yean Loke [Singapour] ; Gordan Savin [États-Unis]

Source :

RBID : ISTEX:B32FDFEED532F84938A3949119CF55064BD2F33B

Abstract

Abstract: Let G2(ℝ) × Sp6(ℝ) and G2(ℝ) × F4(ℝ) be split dual pairs in split E7(ℝ) and E8(ℝ), respectively. It is known that the exceptional correspondences for these dual pairs are functorial on the level of infinitesimal characters. In this paper we show that these dual pair correspondences are functorial for the minimal K-types of principal series representations.

Url:
DOI: 10.1007/s11856-007-0051-5

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ISTEX:B32FDFEED532F84938A3949119CF55064BD2F33B

Le document en format XML

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