Positivity of principal matrix coefficients of principal series representations of $GL_{n}(R)$

zbMath1425.22010arXiv1711.08860MaRDI QIDQ5241590

Yang-Yang Chen

Publication date: 31 October 2019

Full work available at URL: https://arxiv.org/abs/1711.08860

zbMATH Keywords

general linear groupIwasawa decompositionmatrix coefficientprincipal series representation

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General properties and structure of real Lie groups (22E15)

Related Items (1)

Estimate of the weights of the Jacquet module of the principal series representations of \(\mathrm{GL}_n(\mathbb{R})\)

Cites Work

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• Theta lifting for unitary representations with nonzero cohomology
• Positivity of matrix coefficients of representations with real infinitesimal characters
• The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
• The algebraic structure of the representation of semisimple Lie groups. I
• Symmetry breaking for representations of rank one orthogonal groups. II
• Smooth Fréchet globalizations of Harish-Chandra modules
• The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions
• Matrix coefficients of cohomologically induced representations
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
• Classification of the irreducible representations of semisimple Lie groups
• Lie groups beyond an introduction

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