Geodesic
Non-abelian extensions of minimal rotations
Ulrich Haböck 1   ; Vyacheslav Kulagin 2
1 Institute of Discrete Mathematics and Geometry TU Vienna Wiedner Hauptstrasse 8 A-1040 Wien, Austria
2 Institute for Low Temperature Physics and Engineering 47 Lenin Ave. Kharkov 61103, Ukraine
Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 1-17 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider continuous extensions of minimal rotations on a locally connected compact group $X$ by cocycles taking values in locally compact Lie groups and prove regularity (i.e. the existence of orbit closures which project onto the whole basis $X$) in certain special situations beyond the nilpotent case. We further discuss an open question on cocycles acting on homogeneous spaces which seems to be the missing key for a general regularity theorem.
DOI : 10.4064/cm117-1-1
Keywords: consider continuous extensions minimal rotations locally connected compact group cocycles taking values locally compact lie groups prove regularity existence orbit closures which project whole basis certain special situations beyond nilpotent further discuss question cocycles acting homogeneous spaces which seems missing key general regularity theorem

Ulrich Haböck  1   ; Vyacheslav Kulagin  2

1 Institute of Discrete Mathematics and Geometry TU Vienna Wiedner Hauptstrasse 8 A-1040 Wien, Austria
2 Institute for Low Temperature Physics and Engineering 47 Lenin Ave. Kharkov 61103, Ukraine 
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Ulrich Haböck; Vyacheslav Kulagin. Non-abelian extensions of minimal rotations. Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 1-17. doi: 10.4064/cm117-1-1

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