14 citations · 20 across the 12 of their papers we have counts for
14 papers
Parking functions with zero secondary dinv
Susanna Fishel, Luis Pena
We show that the number of parking functions of length with zero secondary dinv is equal to the number of ordered cycle decompositions of permutations of .
Fundamental quasisymmetric functions in superspace
Susanna Fishel, Jessica Gatica, Luc Lapointe +1
The fundamental quasisymmetric functions in superspace are a generalization of the fundamental quasisymmetric functions involving anticommuting variables. We obtain the action of t…
Maximal chains in lattices from graph associahedra: Tamari to the weak order
Samantha Dahlberg, Susanna Fishel
In this paper, we study the maximal chains of lattices which generalizes both the weak order and the Tamari lattice: certain lattices of maximal tubings. A maximal tubing poset $\m…
Shi arrangements and low elements in Coxeter groups
Matthew Dyer, Christophe Hohlweg, Susanna Fishel +1
Given an arbitrary Coxeter system and a nonnegative integer , the -Shi arrangement of is a subarrangement of the Coxeter hyperplane arrangement of . Th…
Unitary representations of the Cherednik algebra: -homology
Susanna Fishel, Stephen Griffeth, Elizabeth Manosalva
We give a non-negative combinatorial formula, in terms of Littlewood-Richardson numbers, for the homology of the unitary representations of the cyclotomic rational Cherednik algebr…
A survey of the Shi arrangement
Susanna Fishel
In 1983, Lusztig defined a map from affine permutations of to partitions of . He conjectured that for any partition of , is a two-sided cell. Shi, in…