$m$-noncrossing partitions and $m$-clusters

$m$-noncrossing partitions and $m$-clusters

Let $W$ be a finite crystallographic reflection group, with root system $\Phi$. Associated to $W$ there is a positive integer, the generalized Catalan number, which counts the clusters in the associated cluster algebra, the noncrossing partitions for $W$, and several other interesting sets. Bijectio...

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Bibliographic Details
Main Authors: Aslak Bakke Buan, Idun Reiten, Hugh Thomas
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
$m$-noncrossing partitions
$m$-clusters
fuss-catalan numbers
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:https://dmtcs.episciences.org/2719/pdf

Internet

https://dmtcs.episciences.org/2719/pdf

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