Journal of Lie Theory 25 (2015), No. 3, 733--751
Copyright Heldermann Verlag 2015
Moment Convexity of Solvable Locally Compact Groups
Daniel Beltita
Institute of Mathematics, Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
daniel.beltita@imar.ro
Mihai Nicolae
Institute of Mathematics, Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
mihaitaiulian85@yahoo.com
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.
Keywords: Solvable topological groups pro-Lie group, moment set, convexity.
MSC: 22E25, 22D25, 17BC65
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