3 citations · 3 across the 3 of their papers we have counts for
9 papers
q-Stirling numbers in type B
Bruce E. Sagan, Joshua P. Swanson
Stirling numbers, which count partitions of a set and permutations in the symmetric group, have found extensive application in combinatorics, geometry, and algebra. We study analog…
Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds
Joshua P. Swanson, Nolan R. Wallach
This paper studies three results that describe the structure of the super-coinvariant algebra of pseudo-reflection groups over a field of characteristic . Our most general resul…
On the distribution of the major index on standard Young tableaux
Sara C. Billey, Matjaž Konvalinka, Joshua P. Swanson
The study of permutation and partition statistics is a classical topic in enumerative combinatorics. The major index statistic on permutations was introduced a century ago by Percy…
Harmonic differential forms for pseudo-reflection groups I. Semi-invariants
Joshua P. Swanson, Nolan R. Wallach
We give a type-independent construction of an explicit basis for the semi-invariant harmonic differential forms of an arbitrary pseudo-reflection group in characteristic zero. Our…
Existence and hardness of conveyor belts
Molly Baird, Sara C. Billey, Erik D. Demaine +7
An open problem of Manuel Abellanas asks whether every set of disjoint closed unit disks in the plane can be connected by a conveyor belt, which means a tight simple closed curve t…
Alternating super-polynomials and super-coinvariants of finite reflection groups
Joshua P Swanson
Motivated by a recent conjecture of Zabrocki, Wallach described the alternants in the super-coinvariant algebra of the symmetric group in one set of commuting and one set of anti-c…