Journal of Lie Theory

no. 4
Locally Compact Contractive Local Groups
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 
@article{JOLT_2009_19_4_a3,
     author = {L. van den Dries and I. Goldbring},
     title = {Locally {Compact} {Contractive} {Local} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {685--695},
     year = {2009},
     volume = {19},
     number = {4},
     doi = {10.5802/jolt.575},
     zbl = {1222.22004},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.575/}
}
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%A I. Goldbring
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%J Journal of Lie Theory
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%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.575/
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L. van den Dries; I. 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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