A categorification of non-crossing partitions
Representation Theory
2015-06-09 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.1310.1907,
title = {A categorification of non-crossing partitions},
author = {Andrew Hubery and Henning Krause},
journal= {arXiv preprint arXiv:1310.1907},
year = {2015}
}
Comments
34 pages. Substantially revised and final version, accepted for publication in Journal of the European Mathematical Society