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Boolean product polynomials, Schur positivity, and Chern plethysm

By Sara Billey and others
Let 1kn1\leq k \leq n and let Xn=(x1,,xn)X_n = (x_1, \dots, x_n) be a list of nn variables. The {\em Boolean product polynomial} Bn,k(Xn)B_{n,k}(X_n) is the product of the linear forms iSxi\sum_{i \in S} x_i where SS ranges over all kk-element subsets of {1,2,,n}\{1, 2, \dots, n\}. We prove that... Show more
February 28, 2019
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Boolean product polynomials, Schur positivity, and Chern plethysm
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