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Showing 1 to 2 of 2 for “"Pieri rules"”.
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Root-theoretic Young diagrams and Schubert Calculus
… is to find nonnegative combinatorial rules for the Schubert calculus of generalized flag varieties; that is, for the structure constants of their cohomology rings with respect to the Schubert basis. There are several natural choices of combinatorial indexing sets for the Schubert basis …
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Abacus-Tournament Models of Hall-Littlewood Polynomials
… model, we give a bijective proof of a Pieri rule for Hall-Littlewood polynomials that gives the Pλ-expansion of the product of a Hall-Littlewood polynomial Pµ with an elementary symmetric polynomial ek. We also give a bijective proof of certain cases of a second Pieri rule that gives …