105 citations · 633 across the 54 of their papers we have counts for
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Polynomiality of the q,t-Kostka Revisited
A. M. Garsia, Mike Zabrocki
Let $K(q,t)= \|K_{\laμ}(q,t)\|_{\la,μ}$ be the Macdonald q,t-Kostka matrix and be the matrix of the Kostka-Foulkes polynomials K_{\laμ}(t). In this paper we present a…
Ribbon Operators and Hall-Littlewood Symmetric Functions
Mike Zabrocki
Given a partition $\la = (\la_1, \la_2, ... \la_k)$, let $\la^{rc} = (\la_2-1, \la_3-1, ... \la_k-1)$. It is easily seen that the diagram $\la\slash \la^{rc}$ is connected and has…
Some remarks on the characters of the general Lie superalgebra
R. C. Orellana, Mike Zabrocki
We compute an explicit formula the Hilbert (Poincaré) series for the ring of hook Schur functions and (equivalently) the generating function for partitions which fit in a -h…
q-Analogs of symmetric function operators
Mike Zabrocki
For any homomorphism V on the space of symmetric functions, we introduce an operation which creates a q-analog of V. By giving several examples we demonstrate that this quantizatio…
Hall-Littlewood vertex operators and generalized Kostka polynomials
Mark Shimozono, Mike Zabrocki
A family of vertex operators that generalizes those given by Jing for the Hall-Littlewood symmetric functions is presented. These operators produce symmetric functions related to t…