817 citations
- Université de MontréalCA15 papers
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5 papers · 1 filter
Staircase skew Schur functions are Schur P-positive
Federico Ardila, Luis G. Serrano
We prove Stanley's conjecture that, if delta_n is the staircase shape, then the skew Schur functions s_{delta_n / mu} are non-negative sums of Schur P-functions. We prove that the…
On L-spaces and left-orderable fundamental groups
Steven Boyer, Cameron McA. Gordon, Liam Watson
Examples suggest that there is a correspondence between L-spaces and 3-manifolds whose fundamental groups cannot be left-ordered. In this paper we establish the equivalence of thes…
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Sarah Post
In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set…
Spectra of Symmetrized Shuffling Operators
Victor Reiner, Franco Saliola, Volkmar Welker
(Abridged abstract) For a finite real reflection group W and a W-orbit O of flats in its reflection arrangement---or equivalently a conjugacy class of its parabolic subgroups---we…
A uniform bijection between nonnesting and noncrossing partitions
Drew Armstrong, Christian Stump, Hugh Thomas
In 2007, D.I. Panyushev defined a remarkable map on the set of nonnesting partitions (antichains in the root poset of a finite Weyl group). In this paper we identify Panyushev's ma…