18 citations · 83 across the 37 of their papers we have counts for
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math.CO2013★ 13 cited
Symmetries of statistics on lattice paths between two boundaries
Sergi Elizalde, Martin Rubey
We prove that on the set of lattice paths with steps N=(0,1) and E=(1,0) that lie between two fixed boundaries T and B (which are themselves lattice paths), the statistics `number…
math.RT2013
Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type D
Thorsten Holm, Peter Jorgensen, Martin Rubey
We give a complete classification of torsion pairs in the cluster category of Dynkin type D_n, via a bijection to new combinatorial objects called Ptolemy diagrams of type D. For t…
math.CO2013
Descent sets for symplectic groups
Martin Rubey, Bruce Sagan, Bruce W. Westbury
The descent set of an oscillating (or up-down) tableau is introduced. This descent set plays the same role in the representation theory of the symplectic groups as the descent set…