Journal of Lie Theory 32 (2022), No. 3, 797--812
Copyright Heldermann Verlag 2022
Momentum Map Images of Representation Spaces of Quivers
Maria Bertozzi
Fakultät für Mathematik, Ruhr Universität, Bochum, Germany
maria.bertozzi@rub.de
Markus Reineke
Fakultät für Mathematik, Ruhr Universität, Bochum, Germany
markus.reineke@rub.de
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.
Keywords: Momentum map image, quiver, Hermitian operator.
MSC: 15A42, 16G20, 53D20.
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