We introduce moment maps of continuous unitary representations of general topological groups. For solvable separable locally compact groups, we prove that the closure of the image of the moment map of any representation is convex.
Classification :
22E25, 22D25, 17BC65
Mots-clés :
Solvable topological groups pro-Lie group, moment set, convexity
Affiliations des auteurs :
Daniel Beltita
1
;
Mihai Nicolae
1
1
Institute of Mathematics, Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
Daniel Beltita; Mihai Nicolae. Moment Convexity of Solvable Locally Compact Groups. Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 733-751. http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a4/
@article{JOLT_2015_25_3_a4,
author = {Daniel Beltita and Mihai Nicolae},
title = {Moment {Convexity} of {Solvable} {Locally} {Compact} {Groups}},
journal = {Journal of Lie Theory},
pages = {733--751},
year = {2015},
volume = {25},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a4/}
}
TY - JOUR
AU - Daniel Beltita
AU - Mihai Nicolae
TI - Moment Convexity of Solvable Locally Compact Groups
JO - Journal of Lie Theory
PY - 2015
SP - 733
EP - 751
VL - 25
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a4/
ID - JOLT_2015_25_3_a4
ER -
%0 Journal Article
%A Daniel Beltita
%A Mihai Nicolae
%T Moment Convexity of Solvable Locally Compact Groups
%J Journal of Lie Theory
%D 2015
%P 733-751
%V 25
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a4/
%F JOLT_2015_25_3_a4
