Momentum map images of representation spaces of quivers

Autor:	Bertozzi, Maria, Reineke, Markus
Rok vydání:	2020
Předmět:	Mathematics - Symplectic Geometry Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 14 pages; corrected definition of height function, corrected examples, clarified relation to work of Baldoni-Vergne-Walter
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.08071 Zobrazit plný text záznamu View this record from Arxiv