Pieri-type multiplication formula for quantum Grothendieck polynomials
Quantum Algebra
2024-06-26 v4 Combinatorics
Representation Theory
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 -theory ring of the (full) flag manifold of type on the basis of the fact that quantum Grothendieck polynomials represent (opposite) Schubert classes in .
Cite
@article{arxiv.2211.01578,
title = {Pieri-type multiplication formula for quantum Grothendieck polynomials},
author = {Satoshi Naito and Daisuke Sagaki},
journal= {arXiv preprint arXiv:2211.01578},
year = {2024}
}