arXiv:1402.1392 Abstract | arXiv Analytics

arXiv:1402.1392 [math.RT]Abstract References Reviews Resources

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

Published 2014-02-06Version 1

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.

Comments: 22 pages

Categories: math.RT, math.AG

Keywords: root system, stability conditions, preprojective algebra, nilpotent modules, kac-moody lie algebra

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