Journal of Lie Theory

no. 4
Locally Compact Contractive Local Groups
Lou van den Dries1; Isaac Goldbring2
1Dept. of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801, U.S.A.
2Dept. of Mathematics, University of California, 520 Portola Plaza, Los Angeles, CA 90095-1555, U.S.A.
Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 685-695
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.
DOI: 10.5802/jolt.575
Classification: 22D05, 22E05
Keywords: Locally compact local groups, contractive pseudo-automorphism, Mal'cev's theorem

Lou van den Dries  1 ; Isaac Goldbring  2

1 Dept. of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801, U.S.A.
2 Dept. of Mathematics, University of California, 520 Portola Plaza, Los Angeles, CA 90095-1555, U.S.A. 
Lou van den Dries; Isaac Goldbring. Locally Compact Contractive Local Groups. Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 685-695. doi: 10.5802/jolt.575
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