The first cohomology of parabolic actions for some higher-rank abelian groups and representation theory

DOI10.3934/jmd.2007.1.61zbMath1119.22009OpenAlexW2331951121MaRDI QIDQ874770

David Mieczkowski

Publication date: 10 April 2007

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jmd.2007.1.61

zbMATH Keywords

representation theoryfirst cohomologyhigher-rank abelian actionsparabolic actions

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Discrete subgroups of Lie groups (22E40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (12)

Higher cohomology of parabolic actions on certain homogeneous spaces ⋮ Higher cohomology for Anosov actions on certain homogeneous spaces ⋮ Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus ⋮ Cohomological equation and cocycle rigidity of parabolic actions in some higher-rank Lie groups ⋮ Invariant distributions and cohomology for geodesic flows and higher cohomology of higher-rank Anosov actions ⋮ On globally hypoelliptic abelian actions and their existence on homogeneous spaces ⋮ Cocycle rigidity and splitting for some discrete parabolic actions ⋮ Cohomological equation and cocycle rigidity of discrete parabolic actions in some higher-rank Lie groups ⋮ The cohomological equation and invariant distributions for horocycle maps ⋮ Cocycle rigidity of partially hyperbolic abelian actions with almost rank-one factors ⋮ Parabolic perturbations of unipotent flows on compact quotients of \(\mathrm{SL}(3,\mathbb{R})\) ⋮ Parameter rigid actions of simply connected nilpotent Lie groups

This page was built for publication: The first cohomology of parabolic actions for some higher-rank abelian groups and representation theory