Geodesic
Moment Convexity of Solvable Locally Compact Groups
Journal of Lie theory, Tome 25 (2015) no. 3, pp. 733-751
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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 
@article{JLT_2015_25_3_JLT_2015_25_3_a4,
     author = {D. Beltita and M. 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/JLT_2015_25_3_JLT_2015_25_3_a4/}
}
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D. Beltita; M. 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/JLT_2015_25_3_JLT_2015_25_3_a4/