From quantum Schubert polynomials to k-Schur functions via the Toda lattice

Details From quantum Schubert polynomials to k-Schur functions via the Toda lattice From quantum Schubert polynomials to k-Schur functions via the Toda lattice

2010-10-19

arxiv.org/abs/1010.4047v2

Mathematics

Combinatorics

11 pages, minor changes, acknowledgments added

Scientific paper

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 upon Kostant's solution of the
Toda lattice and Peterson's work on quantum Schubert calculus.

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