Measure rigidity for solvable group actions in the space of lattices

DOI10.1007/s00605-019-01295-5zbMath1427.37002arXiv1702.03084OpenAlexW2715933654MaRDI QIDQ2003531

Ronggang Shi, Manfred Einsiedler

Publication date: 9 July 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03084

zbMATH Keywords

solvable grouphomogeneous dynamicsmeasure rigidity

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Spaces of measures, convergence of measures (28A33) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44)

Cites Work

• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• On Raghunathan's measure conjecture
• Divergent trajectories on noncompact parameter spaces
• Invariant measures for solvable groups and Diophantine approximation
• Measure rigidity for almost linear groups and its applications
• On the space of ergodic invariant measures of unipotent flows
• Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.
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