Journal of Lie Theory

no. 3
Moment Convexity of Solvable Locally Compact Groups
Journal of Lie Theory, Volume 25 (2015) no. 3, pp. 733-751
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.
DOI: 10.5802/jolt.857
Classification: 22E25, 22D25, 17BC65
Keywords: Solvable topological groups pro-Lie group, moment set, convexity 
@article{JOLT_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},
     doi = {10.5802/jolt.857},
     zbl = {1330.22009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.857/}
}
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%A M. Nicolae
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%J Journal of Lie Theory
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D. Beltita; M. Nicolae. Moment Convexity of Solvable Locally Compact Groups. Journal of Lie Theory, Volume 25 (2015) no. 3, pp. 733-751. doi: 10.5802/jolt.857

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