3 citations · 6 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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…