4 citations · 11 across the 4 of their papers we have counts for
7 papers · 1 filter
On the S_n-module structure of the noncommutative harmonics
Emmanuel Briand, Mercedes Rosas, Mike Zabrocki
Using a noncommutative analog of Chevalley's decomposition of polynomials into symmetric polynomials times coinvariants due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute…
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…
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…
Vertex operators for standard bases of the symmetric functions
Mike Zabrocki
We present a formulas to add a row or a column to the power, monomial, forgotten, Schur, homogeneous and elementary symmetric functions. As an application of these operators we sho…