# The Catalan combinatorics of the hereditary artin algebras

@article{Ringel2015TheCC, title={The Catalan combinatorics of the hereditary artin algebras}, author={Claus Michael Ringel}, journal={arXiv: Representation Theory}, year={2015} }

This is a survey on the categorification of the poset of generalized non-crossing partitions, using the representation theory of a hereditary artin algebra H, looking at the set P of exceptional subcategories in mod H. This categorification is due to Ingalls and Thomas, and a subsequent paper by Igusa and Schiffler.
Starting point is a refinement of the classical tilting theory for mod H, replacing torsion pairs by torsion triples, thus putting it into the realm of the stability theory of King… Expand

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