Sur la cohomologie réelle des groupes de Lie simples réels

Alain Guichardet, David Wigner

Type: Article

Publication Date: 1978-01-01

Citations: 35

DOI: https://doi.org/10.24033/asens.1347

Abstract

A simple Lie group G has a nontrivial continuous 2-cohomology group H 2 (G, R) (which is then 1-dimensional) if and oniy if thé symmetric space G/K admits a G-invariant complex structure.Explicit cocycles are constructed for thèse nontrivial cohomology classes.We aiso give some results for H 2 (G, Z) and H 2 (G, T).

Locations

Annales Scientifiques de l École Normale Supérieure - View - PDF

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