Rank and matrix coefficients for simply laced groups

DOI10.1515/CRELLE.2006.082zbMath1125.22009OpenAlexW2092690584MaRDI QIDQ3437803

Gordan Savin, Huang Yean Loke

Publication date: 10 May 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2006.082

zbMATH Keywords

minimal representationCasimir operatormatrix coefficientexceptional group

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (5)

Prime and almost prime integral points on principal homogeneous spaces ⋮ Duality for spherical representations in exceptional theta correspondences ⋮ Isolatedness of the minimal representation and minimal decay of exceptional groups ⋮ Small principal series and exceptional duality for two simply laced exceptional groups ⋮ Eulerianity of Fourier coefficients of automorphic forms

Cites Work

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• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Dual pair \(G_{\mathcal J}\times PGL_ 2 G_{\mathcal J}\) is the automorphism group of the Jordan algebra \({\mathcal J}\)
• Kirillov-Duflo orbit method and minimal representations of simple groups over a local field of characteristic zero
• Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants
• Isolatedness of the minimal representation and minimal decay of exceptional groups
• A Notion of Rank for Unitary Representations of General Linear Groups

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