# Generalized quiver varieties and triangulated categories

@article{Scherotzke2018GeneralizedQV, title={Generalized quiver varieties and triangulated categories}, author={Sarah Scherotzke}, journal={Mathematische Zeitschrift}, year={2018}, volume={292}, pages={1453-1478} }

In this paper, we introduce generalized quiver varieties which include as special cases classical and cyclic quiver varieties. The geometry of generalized quiver varieties is governed by a finitely generated algebra $${{\mathcal {P}}}$$P: the algebra $${{\mathcal {P}}}$$P is self-injective if the quiver Q is of Dynkin type, and coincides with the preprojective algebra in the case of classical quiver varieties. We show that in the Dynkin case the strata of generalized quiver varieties are in…

## 3 Citations

Hall algebras and quantum symmetric pairs III: Quiver varieties

- MathematicsAdvances in Mathematics
- 2021

On quiver Grassmannians and orbit closures for representation-finite algebras

- Mathematics
- 2015

We show that Auslander algebras have a unique tilting and cotilting module which is generated and cogenerated by a projective–injective; its endomorphism ring is called the projective quotient…

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