Journal of Lie Theory

no. 3
Momentum Map Images of Representation Spaces of Quivers
Journal of Lie Theory, Volume 32 (2022) no. 3, pp. 797-812
We consider the base change action on real or complex representation spaces of quivers and the associated momentum map for a maximal compact subgroup of the base change group, as introduced by A. King. We give an explicit description of the momentum map image in terms of recursively defined inequalities on eigenvalues of Hermitian operators. Moreover, we characterize when the momentum map image is maximal possible, respectively of positive volume.
DOI: 10.5802/jolt.1252
Classification: 15A42, 16G20, 53D20
Keywords: Momentum map image, quiver, Hermitian operator 
@article{JOLT_2022_32_3_a8,
     author = {M. Bertozzi and M. Reineke},
     title = {Momentum {Map} {Images} of {Representation} {Spaces} of {Quivers}},
     journal = {Journal of Lie Theory},
     pages = {797--812},
     year = {2022},
     volume = {32},
     number = {3},
     doi = {10.5802/jolt.1252},
     zbl = {1523.16017},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1252/}
}
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%A M. Reineke
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%J Journal of Lie Theory
%D 2022
%P 797-812
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M. Bertozzi; M. Reineke. Momentum Map Images of Representation Spaces of Quivers. Journal of Lie Theory, Volume 32 (2022) no. 3, pp. 797-812. doi: 10.5802/jolt.1252

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