Geodesic
A categorification of non-crossing partitions
Journal of the European Mathematical Society, Tome 18 (2016) no. 10, pp. 2273-2313.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/641
Classification : 16-XX, 05-XX, 20-XX
Keywords: Non-crossing partition, hereditary algebra, Grothendieck group, Weyl group, Coxeter group, exceptional sequence, symmetrisable generalised Cartan matrix, perpendicular category 
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     title = {A categorification of non-crossing partitions},
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Andrew Hubery; Henning Krause. A categorification of non-crossing partitions. Journal of the European Mathematical Society, Tome 18 (2016) no. 10, pp. 2273-2313. doi : 10.4171/jems/641. http://geodesic.mathdoc.fr/articles/10.4171/jems/641/

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