New interpretations for noncrossing partitions of classical types

Authors:
Jang Soo Kim
Affiliations:
School of Mathematics, University of Minnesota Minneapolis, MN 55455, USA
Venue:
Journal of Combinatorial Theory Series A
Year:
2011

Citing 7
Cited 0

Non-crossing partitions for classical reflection groups

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Some Combinatorics Related to Central Binomial Coefficients: Grand-Dyck Paths, Coloured Noncrossing Partitions and Signed Pattern Avoiding Permutations

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Chain enumeration of k-divisible noncrossing partitions of classical types

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Abstract

We interpret noncrossing partitions of type B and type D in terms of noncrossing partitions of type A. As an application, we get type-preserving bijections between noncrossing and nonnesting partitions of type B, type C and type D which are different from those in the recent work of Fink and Giraldo. We also define Catalan tableaux of type B and type D, and find bijections between them and noncrossing partitions of type B and type D respectively.