Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles

DOI10.24033/bsmf.2322zbMath0933.22009OpenAlexW2519820905MaRDI QIDQ4225828

Pierre Pansu

Publication date: 30 March 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1998__126_1_107_0

zbMATH Keywords

cohomology groupsunitary representationlocally symmetric spacesbuildingsvanishing theoremsKazhdan's property \((T)\)Garland's theoremMatsushima type theorems

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Unitary representations of locally compact groups (22D10) Buildings and the geometry of diagrams (51E24)

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