Sur la cohomologie réelle des groupes de Lie simples réels

DOI10.24033/asens.1347zbMath0398.22015OpenAlexW75653944MaRDI QIDQ4182926

David Wigner, Alain Guichardet

Publication date: 1978

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1978_4_11_2_277_0

zbMATH Keywords

CocycleSimple Connected Lie Group

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Homology and cohomology theories in algebraic topology (55N99)

Related Items (18)

Strong property (T) for higher-rank simple Lie groups: Figure 1. ⋮ Comparison of Karoubi's regulator and the p-adic Borel regulator ⋮ Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture ⋮ Bounded Kähler class rigidity of actions on Hermitian symmetric spaces ⋮ Quasi-state rigidity for finite-dimensional Lie algebras ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ A two-cocycle on the group of symplectic diffeomorphisms ⋮ Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups ⋮ Euler and Maslov cocycles ⋮ On the Third-Degree Continuous Cohomology of Simple Lie Groups ⋮ An infinite genus mapping class group and stable cohomology ⋮ À propos de l'article «Sur la cohomologie réelle des groupes de Lie simples réels» ⋮ Van Est differentiation and integration ⋮ Quasi-morphismes et invariant de Calabi ⋮ Spineurs symplectiques purs et indice de Maslov de plans lagrangiens positifs ⋮ A cocycle for the symplectic first Chern class and the Maslov index ⋮ On the mean Euler characteristic of contact manifolds ⋮ Quasi-total actions and translation numbers

Cites Work

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• Cohomology of Lie groups
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• Leaf invariants for foliations and the van Est isomorphism
• Curvature and characteristic classes
• Characteristic Classes and Homogeneous Spaces, I
• Group Extensions and Cohomology for Locally Compact Groups. III
• The Reciprocity of Dedekind Sums and the Factor Set for the Universal Covering Group of SL(2, R)
• Algebraic Cohomology of Topological Groups
• Homologie et cohomologie des algèbres de Lie

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