A categorification of non-crossing partitions
Andrew Hubery
Universität Bielefeld, GermanyHenning Krause
Universität Bielefeld, Germany
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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