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arXiv:1310.1907 [math.RT]AbstractReferencesReviewsResources

A categorification of non-crossing partitions

Andrew Hubery, Henning Krause

Published 2013-10-07, updated 2015-06-06Version 2

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.

Comments: 34 pages. Substantially revised and final version, accepted for publication in Journal of the European Mathematical Society
Categories: math.RT, math.CO
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