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3-dimensional Bol loops as sections in non-solvable Lie groups
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Ágota Figula
Published/Copyright:
July 27, 2005
Abstract
Using the relations between affine symmetric spaces and differentiable Bol loops we determine all 3-dimensional connected differentiable proper Bol loops having a non-solvable Lie group as the group topologically generated by their left translations.
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Published Online: 2005-07-27
Published in Print: 2005-05-25
© de Gruyter
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Articles in the same Issue
- Feller-type properties and path regularities of Markov processes
- Equivalent expressions for norms in classical Lorentz spaces
- Modular arithmetic of free subgroups
- Complete polynomial vector fields in two complex variables
- 3-dimensional Bol loops as sections in non-solvable Lie groups
- Sharp conditions for weighted Sobolev interpolation inequalities
- Fixed points of pro-tori in cohomology spheres
- Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions
- A locally finite dense group acting on the random graph
