Locally Compact Contractive Local Groups
Copyright policy )Locally Compact Contractive Local Groups
We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of theorems for locally compact contractive groups.
10 pages
- University of California, Los Angeles United States
Mal'cev's theorem, Mathematics - Differential Geometry, Differential Geometry (math.DG), 22D05, General properties and structure of locally compact groups, FOS: Mathematics, contractive pseudo-automorphism, locally compact local groups, Local Lie groups
Mal'cev's theorem, Mathematics - Differential Geometry, Differential Geometry (math.DG), 22D05, General properties and structure of locally compact groups, FOS: Mathematics, contractive pseudo-automorphism, locally compact local groups, Local Lie groups
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