Rigidity problem for lattices in solvable Lie groups

DOI10.1007/BF02867117zbMath0826.22013WikidataQ115391400 ScholiaQ115391400MaRDI QIDQ1338149

A. N. Starkov

Publication date: 22 November 1995

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

automorphismsimply connected solvable Lie groupseffective rigidity criterionnonrigid latticesrigid virtually nilpotent lattice

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25)

Related Items

Solvable Lattices and Their Groups of Automorphisms ⋮ ON AUTOMORPHISMS OF ARITHMETIC SUBGROUPS OF UNIPOTENT GROUPS IN POSITIVE CHARACTERISTIC ⋮ Superrigidity of lattices in solvable Lie groups ⋮ Remarks on a conjecture of Chabauty ⋮ Vanishing of cohomology and parameter rigidity of actions of solvable Lie groups, II

Cites Work

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• Representations and representative functions of Lie groups
• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Cohomology of topological groups and solvmanifolds
• Almost algebraic Lie algebras
• Splitting theorems and the structure of solvmanifolds
• Factor spaces of solvable groups
• Algebraic Groups of Automorphisms of Nilpotent Groups and Lie Algebras
• Flows on Homogeneous Spaces. (AM-53)
• G-Induced Flows
• Representative Functions of Discrete Groups and Solvable Arithmetic Subgroups
• On S-Subgroups of Solvable Lie Groups
• An exposition of the structure of solvmanifolds. Part I: Algebraic theory