The Catalan combinatorics of the hereditary artin algebras

  title={The Catalan combinatorics of the hereditary artin algebras},
  author={Claus Michael Ringel},
  journal={arXiv: Representation Theory},
  • C. Ringel
  • Published 23 February 2015
  • Mathematics
  • arXiv: Representation Theory
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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  • C. Ringel
  • Mathematics
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