Non-vanishing for group \(L^p\)-cohomology of solvable and semisimple Lie groups

DOI10.5802/jep.232arXiv2109.07579OpenAlexW3199127433MaRDI QIDQ6158343

Bertrand Rémy, Marc Bourdon

Publication date: 31 May 2023

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.07579

zbMATH Keywords

spectral sequenceLie groupsymmetric spaceroot system\(L^p\)-cohomologyquasi-isometric invariancecohomology (non-)vanishing

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Cohomology of groups (20J06) Homological methods in group theory (20J05) Homology and cohomology of Lie groups (57T10) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) General properties and structure of real Lie groups (22E15) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Other homology theories in algebraic topology (55N35) Continuous cohomology of Lie groups (22E41)

Related Items

Relative L^p-cohomology and application to Heintze groups

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