A categorification of non-crossing partitions

  • Andrew Hubery

    Universität Bielefeld, Germany
  • Henning Krause

    Universität Bielefeld, Germany

Abstract

We present a categorification of the non-crossing partitions given by crystallographic Coxeter groups. This involves a category of certain bilinear lattices, which are essentially determined by a symmetrisable generalised Cartan matrix together with a particular choice of a Coxeter element. Examples arise from Grothendieck groups of hereditary artin algebras.

Cite this article

Andrew Hubery, Henning Krause, A categorification of non-crossing partitions. J. Eur. Math. Soc. 18 (2016), no. 10, pp. 2273–2313

DOI 10.4171/JEMS/641