3 citations · 6 across the 2 of their papers we have counts for
10 papers
Deformed universal characters for classical and affine algebras
Mark Shimozono, Mike Zabrocki
Creation operators are given for the three distinguished bases of the type BCD universal character ring of Koike and Terada yielding an elegant way of treating computations for all…
A bijective proof of an unusual symmetric group generating function
Mike Zabrocki
For , let denote the descent set of . The length of the permutation is the number of inversions, denoted by $inv(σ) = \big | \{(i,j) :…
A q-analog of Schur's Q-functions
Geanina Tudose, Michael Zabrocki
We present a family of analogs of the Hall-Littlewood symmetric functions in the -function algebra. The change of basis coefficients between this family and Schur's -function…
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…