On multiplicity in restriction of tempered representations of p-adic\n groups

2013/06/25 by Kwangho Choiy, Choiy, Kwangho · 1 citation
Mathematics · #11F70 #22E35 #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1306.6118

openalex publication_date 2013/06/25 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We establish an equality between two multiplicities: one in the restriction\nof tempered representations of a p-adic group to its closed subgroup with the\nsame derived group; and one occurring in their corresponding component groups\nin Langlands dual sides, so-called \S-groups, under working\nhypotheses about the tempered local Langlands conjecture and the internal\nstructure of tempered L-packets. This provides a formula of the multiplicity\nfor p-adic groups by means of dimensions of irreducible representations of\ntheir \S-groups.\n

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• Component groups for non-supercuspidal L-parameters for p-adic SL₃

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