Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture

DOI10.1007/s00209-016-1629-6zbMath1347.22010arXiv1403.5917OpenAlexW3106291364WikidataQ115388752 ScholiaQ115388752MaRDI QIDQ303798

F. Blanchet-Sadri, M. Dambrine

Publication date: 22 August 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5917

zbMATH Keywords

comparison theoremsgroup actionreductive groupCasselman-Wallach representationLie algebra homology

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Distributions, generalized functions, distribution spaces (46F99) Cohomology theory for linear algebraic groups (20G10)

Related Items (6)

On the regularity of \(D\)-modules generated by relative characters ⋮ Comparison of homologies and automatic extensions of invariant distributions ⋮ Homological Finiteness of Representations of Almost Linear Nash Groups ⋮ Harmonic analysis for real spherical spaces ⋮ Schwartz homologies of representations of almost linear Nash groups ⋮ Classification of connected commutative locally Nash groups

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• Schwartz Functions on Nash Manifolds
• Smooth transfer of Kloosterman integrals (the Archimedean case)

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