Translations in simply transitive affine actions of 5-dimensional nilpotent Lie groups.

DOI10.1016/j.topol.2003.08.006zbMath1050.57026OpenAlexW2053205117WikidataQ115340870 ScholiaQ115340870MaRDI QIDQ1426483

Karel Dekimpe, Tine De Cat

Publication date: 14 March 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2003.08.006

zbMATH Keywords

nilpotent Lie groupaffine action

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Nilpotent and solvable Lie groups (22E25) General theory of group and pseudogroup actions (22F05)

Cites Work

• Affine manifolds with nilpotent holonomy
• Three-dimensional affine crystallographic groups
• Complete left-invariant affine structures on nilpotent Lie groups
• Distality, completeness, and affine structures
• The structure of complete left-symmetric algebras
• On fundamental groups of complete affinely flat manifolds
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Translations in simply transitive affine actions of Heisenberg type Lie groups
• A non-affine nilvariety
• Modules for certain Lie algebras of maximal class
• Simply Transitive Groups of Affine Motions
• AFFINE STRUCTURES ON NILMANIFOLDS
• Nilpotent Lie groups admitting a left invariant structure
• Unnamed Item