Schwartz homologies of representations of almost linear Nash groups

DOI10.1016/j.jfa.2020.108817zbMath1478.22008arXiv1901.00730OpenAlexW3095600079MaRDI QIDQ2225242

Bin Yong Sun, Yang-Yang Chen

Publication date: 5 February 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00730

zbMATH Keywords

Lie algebra homologySchwartz homologySchwartz inductiontempered vector bundle

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General properties and structure of other Lie groups (22E20)

Related Items (8)

Rankin-Selberg integrals for principal series representations of \(\mathrm{GL}(n)\) ⋮ Ext-multiplicity theorem for standard representations of \((\mathrm{GL}_{n+1},\mathrm{GL}_n)\) ⋮ Comparison of homologies and automatic extensions of invariant distributions ⋮ Estimate of the weights of the Jacquet module of the principal series representations of \(\mathrm{GL}_n(\mathbb{R})\) ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ On local intertwining periods ⋮ Classification of abelian Nash manifolds ⋮ Classification of connected commutative locally Nash groups

Cites Work

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• Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture
• De Rham theorem for Schwartz functions on Nash manifolds
• The de-Rham theorem and Shapiro lemma for Schwartz functions on Nash manifolds
• Homology of Lie groups and Poincaré duality
• Représentations tempérées des groupes de Lie nilpotents. (Tempered representations of nilpotent Lie groups)
• Nash manifolds
• Cohomology of Lie groups
• Continuous cohomology and a conjecture of Serre's
• Almost linear Nash groups
• Uniqueness of Fourier-Jacobi models: the Archimedean case
• Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
• Toroidal affine Nash groups
• Relative Homological Algebra
• Schwartz Functions on Nash Manifolds
• Sur les représentations différentiables des groupes de Lie algébriques
• Smooth transfer of Kloosterman integrals (the Archimedean case)
• Produits tensoriels topologiques et espaces nucléaires

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