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, Tome 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.
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, Tome 19 (2009) no. 4, pp. 685-695. http://geodesic.mathdoc.fr/item/JOLT_2009_19_4_a3/
@article{JOLT_2009_19_4_a3,
author = {Lou van den Dries and Isaac Goldbring},
title = {Locally {Compact} {Contractive} {Local} {Groups}},
journal = {Journal of Lie Theory},
pages = {685--695},
year = {2009},
volume = {19},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2009_19_4_a3/}
}
TY - JOUR
AU - Lou van den Dries
AU - Isaac Goldbring
TI - Locally Compact Contractive Local Groups
JO - Journal of Lie Theory
PY - 2009
SP - 685
EP - 695
VL - 19
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2009_19_4_a3/
ID - JOLT_2009_19_4_a3
ER -
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%D 2009
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%U http://geodesic.mathdoc.fr/item/JOLT_2009_19_4_a3/
%F JOLT_2009_19_4_a3
