Algebraic families of groups and commuting involutions

DOI10.1142/S0129167X18500301zbMath1428.20046arXiv1709.02992MaRDI QIDQ4638367

Dan Barbasch, Eyal Subag, Nigel Higson

Publication date: 8 May 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02992

zbMATH Keywords

Lie groupssymmetric pairsreal structurecommuting involutionsalgebraic families of complex algebraic groupsalgebraic families of Lie algebras

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) General properties and structure of real Lie groups (22E15)

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Cites Work

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• Algebraic geometry and analytic geometry
• Irreducible characters of semisimple Lie groups. IV: Character - multiplicity duality
• Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
• The Langlands classification and irreducible characters for real reductive groups
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces
• Orbits and invariants associated with a pair of commuting involutions
• Smooth Fréchet globalizations of Harish-Chandra modules
• Commuting involutions and degenerations of isotropy representations
• Contractions of rotation groups and their representations
• On Contractions of Semisimple Lie Groups
• Schwartz Functions on Nash Manifolds
• Contractions of Representations and Algebraic Families of Harish-Chandra Modules
• Algebraic Families of Harish-Chandra Pairs
• The algebraic Mackey-Higson bijections
• Singular Points of Complex Hypersurfaces. (AM-61)
• On the Contraction of Groups and Their Representations