Quasi-simple Lie groups as multiplication groups of topological loops

DOI10.1515/ADVGEOM-2015-0011zbMath1331.57031OpenAlexW866825650WikidataQ115237047 ScholiaQ115237047MaRDI QIDQ2515407

Ágota Figula

Publication date: 5 August 2015

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6feb06e188906b7b1ef271b8cfe1da9e05fb7754

zbMATH Keywords

topological looploop structures on three-spheremultiplication group of a topological loop, simple Lie groups of transformationsthree dimensional loops

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Loops, quasigroups (20N05) Group actions on manifolds and cell complexes in low dimensions (57M60) Other topological algebraic systems and their representations (22A30) Noncompact Lie groups of transformations (57S20)

Related Items (3)

Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent ⋮ Topological loops having solvable indecomposable Lie groups as their multiplication groups ⋮ Unnamed Item

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