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Conjectures on the cohomology of the Grassmannian
Victor Reiner, Geanina Tudose
We give a series of successively weaker conjectures on the cohomology ring of the Grassmannian, starting with the Hilbert series of a certain natural filtration.
Differential Operators and Weighted Isobaric Polynomials
Trueman MacHenry, Geanina Tudose
We characterize those sequences of weighted isobaric polynomials as defined in math.CO/0106213 which belong to the kernel of the linear operator $D_{11} - \sum_{j=1}^k a_j t_j D_{2…
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…
Reflections on symmetric polynomials and arithmetic functions
Trueman MacHenry, Geanina Tudose
In an isomorphic copy of the ring of symmetric polynomials we study some families of polynomials which are indexed by rational weight vectors. These families include well known sym…
A special case of sl(n)-fusion coefficients
Geanina Tudose
We give a combinatorial description of sl(n)-fusion coefficients in the case where one partition has at most two columns and establih other properties for this case.