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math.CO2006★ 2 cited
An example of generalized Schur operators involving planar binary trees
Yasuhide Numata
Young's lattice is a prototypical example of differential posets. Differential posets have the Robinson correspondence, the correspondence between permutations and pairs of standar…
math.CO2006
Tabloids and Weighted Sums of Characters of Certain Modules of the Symmetric Groups
Yasuhide Numata
We consider certain modules of the symmetric groups whose basis elements are called tabloids. Some of these modules are isomorphic to subspaces of the cohomology rings of subvariet…
math.CO2006
Pieri's Formula for Generalized Schur Polynomials
Yasuhide Numata
Young's lattice, the lattice of all Young diagrams, has the Robinson-Schensted-Knuth correspondence, the correspondence between certain matrices and pairs of semi-standard Young ta…