Almost linear Nash groups

DOI10.1007/s11401-015-0915-7zbMath1322.22009arXiv1310.8011OpenAlexW2107704160MaRDI QIDQ2355538

Bin Yong Sun

Publication date: 23 July 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8011

zbMATH Keywords

Nash manifoldCartan decompositionIwasawa decompositionJordan decompositionLevi decompositionNash groupNash representation

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) General properties and structure of other Lie groups (22E20)

Related Items (12)

Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture ⋮ Godement-Jacquet L-functions and full theta lifts ⋮ Coincidence of algebraic and smooth theta correspondences ⋮ 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) ⋮ Homological Finiteness of Representations of Almost Linear Nash Groups ⋮ Schwartz homologies of representations of almost linear Nash groups ⋮ Classification of abelian Nash manifolds ⋮ Whittaker supports for representations of reductive groups ⋮ Classification of connected commutative locally Nash groups ⋮ Conservation relations for local theta correspondence

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• L'application exponentielle dans les groupes de Lie résolubles
• Symmetry, Representations, and Invariants
• Completely Reducible Lie Algebras of Linear Transformations
• Semisimple groups and Riemannian symmetric spaces
• Algorithms in real algebraic geometry
• Lie groups beyond an introduction

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