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

DOI10.1134/S0037446623040237zbMath1525.22007OpenAlexW4385191971MaRDI QIDQ6133123

Yang-Yang Chen

Publication date: 18 August 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623040237

zbMATH Keywords

weightsgeneral linear groupsprincipal series representationsSchwartz inductions

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Nash manifolds
• Schwartz homologies of representations of almost linear Nash groups
• Almost linear Nash groups
• Uniqueness of Fourier-Jacobi models: the Archimedean case
• Schwartz Functions on Nash Manifolds
• Sur les représentations différentiables des groupes de Lie algébriques
• Smooth transfer of Kloosterman integrals (the Archimedean case)
• Positivity of principal matrix coefficients of principal series representations of $GL_{n}(R)$
• Lie groups beyond an introduction

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