Pieri-type multiplication formula for quantum Grothendieck polynomials
Abstract
The purpose of this paper is to prove a Pieri-type multiplication formula for quantum Grothendieck polynomials, which was conjectured by Lenart-Maeno. This formula would enable us to compute explicitly the quantum product of two arbitrary (opposite) Schubert classes in the (small) quantum K-theory ring QK(Fln) of the (full) flag manifold Fln of type An-1 on the basis of the fact that quantum Grothendieck polynomials represent (opposite) Schubert classes in QK(Fln).
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