A Gelfand-MacPherson correspondence for quiver moduli

Autor:	Franzen, Hans
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We show that a semi-stable moduli space of representations of an acyclic quiver can be identified with two GIT quotients by reductive groups. One of a quiver Grassmannian of a projective representation, the other of a quiver Grassmannian of an injective representation. This recovers as special cases the classical Gelfand-MacPherson correspondence and its generalization by Hu and Kim to bipartite quivers, as well as the Zelevinsky map for a quiver of Dynkin type A with the linear orientation. Comment: 28 pages, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.14195 Zobrazit plný text záznamu View this record from Arxiv