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.
1
Fakultät für Mathematik, Ruhr Universität, Bochum, Germany
Maria Bertozzi; Markus Reineke. Momentum Map Images of Representation Spaces of Quivers. Journal of Lie Theory, Tome 32 (2022) no. 3, pp. 797-812. http://geodesic.mathdoc.fr/item/JOLT_2022_32_3_a8/
@article{JOLT_2022_32_3_a8,
author = {Maria Bertozzi and Markus Reineke},
title = {Momentum {Map} {Images} of {Representation} {Spaces} of {Quivers}},
journal = {Journal of Lie Theory},
pages = {797--812},
year = {2022},
volume = {32},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2022_32_3_a8/}
}
TY - JOUR
AU - Maria Bertozzi
AU - Markus Reineke
TI - Momentum Map Images of Representation Spaces of Quivers
JO - Journal of Lie Theory
PY - 2022
SP - 797
EP - 812
VL - 32
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2022_32_3_a8/
ID - JOLT_2022_32_3_a8
ER -
%0 Journal Article
%A Maria Bertozzi
%A Markus Reineke
%T Momentum Map Images of Representation Spaces of Quivers
%J Journal of Lie Theory
%D 2022
%P 797-812
%V 32
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2022_32_3_a8/
%F JOLT_2022_32_3_a8
