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About HAP: Noncrossing Partitions
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Tom Brady and Column Watt have introduced the notion of a non-crossing partitions lattice for an arbitrary finite reflection group W. The following commands show how to display this lattice for the reflection group H3.
gap> D:=[[1,[2,3]],[2,[3,5]]];;
gap> CoxeterDiagramDisplay(D);


NoncrossingPartitionsLatticeDisplay(D);



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