Contracting automorphisms and \(L^p\)-cohomology in degree one

DOI10.1007/s11512-010-0127-zzbMath1257.22008arXiv0908.2603OpenAlexW2096228968MaRDI QIDQ691155

Romain Tessera, Yves De Cornulier

Publication date: 29 November 2012

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2603

zbMATH Keywords

algebraic groupreal Lie groupcontracting automorphismHeintze-typerank-one-type

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) General properties and structure of real Lie groups (22E15) General properties and structure of locally compact groups (22D05) Representations of Lie and linear algebraic groups over local fields (22E50) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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Metric equivalences of Heintze groups and applications to classifications in low dimension, Embeddings of locally compact hyperbolic groups into \(L_{p}\)-spaces, Fixed points and amenability in non-positive curvature, Orlicz spaces and the large scale geometry of Heintze groups, On the logarithmic coarse structures of Lie groups and hyperbolic spaces, Amenable hyperbolic groups, Non-vanishing for group \(L^p\)-cohomology of solvable and semisimple Lie groups, Topological groups with a compact open subgroup, relative hyperbolicity and coherence, Relative L^p-cohomology and application to Heintze groups, Quasi-isometric invariance of continuous group \(L^p\)-cohomology, and first applications to vanishings, LARGE-SCALE SUBLINEARLY LIPSCHITZ GEOMETRY OF HYPERBOLIC SPACES, Hyperbolic groups have flat-rank at most 1, Linear and Nonlinear Harmonic Boundaries of Graphs; An Approach with ℓ p-Cohomology in Degree One, On the \(\ell ^{q,p}\) cohomology of Carnot groups, Poincaré profiles of Lie groups and a coarse geometric dichotomy

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