Year: 2026
Type: article
Abstract: Let G be a complex reductive Lie group acting on a compact Kähler manifold X . Assume that the action of a maximal compact subgroup K of G is Hamiltonian. For each extreme point of the convex hull of the momentum map image, there exists an associated open dense subset of X , that is invariant under the action of a parabolic subgroup Q of G . We prove a Q -equivariant product decomposition for the Q -action on this subset and discuss some applications of this result. Additionaly, we establish a similar statement for real reductive subgroups of G and the restricted momentum map.
Source: Journal of Lie Theory
DOI: 10.5802/jolt.1419
Authors: Peter Heinzner, Christian Zöller
Institution: Ruhr University Bochum
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4417515143
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