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Affine actions on Lie groups and post-Lie algebra structures

✍ Scribed by Dietrich Burde; Karel Dekimpe; Kim Vercammen


Book ID
113772343
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
315 KB
Volume
437
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


On affine actions of Lie groups
✍ Abdelghani Zeghib πŸ“‚ Article πŸ“… 1998 πŸ› Springer-Verlag 🌐 French βš– 174 KB
Left-Invariant Affine Structures on Redu
✍ Dietrich Burde πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 230 KB

We describe left-invariant affine structures that is, left-invariant flat torsion-free . affine connections ٌ on reductive linear Lie groups G. They correspond bijectively to LSA-structures on the Lie algebra α’„ of G. Here LSA stands for left-symmetric algebra. If α’„ has trivial or one-dimensional cen