Multiplicity Free Jacquet Modules

DOI10.4153/CMB-2011-127-8zbMath1268.22014arXiv0910.3659MaRDI QIDQ3143543

Dmitry Gourevitch, Avraham Aizenbud

Publication date: 30 November 2012

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3659

zbMATH Keywords

Gelfand pairmultiplicity oneinvariant distributions\(\operatorname{GL}(n)\)functor of coinvariantsp-adic and finite fields

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Operations with distributions and generalized functions (46F10) Representations of Lie and linear algebraic groups over local fields (22E50) Representation theory of linear operators (47A67) Linear algebraic groups over local fields and their integers (20G25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (3)

Multiplicity one theorem for \((\mathrm{GL}_{n+1}, \mathrm{GL}_n)\) over a local field of positive characteristic ⋮ Finite traces and representations of the group of infinite matrices over a finite field ⋮ The simplicity of the branching of representations of the groups \(\mathrm{GL}(n,q)\) under the parabolic restrictions.

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