Stability conditions for preprojective algebras and root systems of Kac-Moody Lie algebras

2014/02/06 by Akishi Ikeda, Ikeda, Akishi · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1402.1392

openalex publication_date 2014/02/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to study the space of stability conditions on the bounded derived category of nilpotent modules over the preprojective algebra associated with a quiver without loops. We describe this space as a covering space of some open set determined by the root system of the Kac-Moody Lie algebra associated with the quiver.

Citations

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Cited by

• Stability Conditions and Algebraic Hearts for Acyclic Quivers

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