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From quantum Schubert polynomials to \(k\)-Schur functions via the Toda lattice. (English) Zbl 1269.05113
Summary: We show that Lapointe-Lascoux-Morse \(k\)-Schur functions (at \(t=1\)) and Fomin-Gelfand-Postnikov quantum Schubert polynomials can be obtained from each other by a rational substitution. This is based on Kostant’s solution of the Toda lattice and Peterson’s work on quantum Schubert calculus.

MSC:
05E05 Symmetric functions and generalizations
14N15 Classical problems, Schubert calculus
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