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arXiv · 1402.1392

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

Akishi Ikeda
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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.

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Akishi Ikeda. 2014-02-06. Stability conditions for preprojective algebras and root systems of Kac-Moody Lie algebras. https://arxiv.org/abs/1402.1392

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