Factorial Flagged Grothendieck Polynomials
Combinatorics
2019-03-07 v1 Algebraic Geometry
K-Theory and Homology
Abstract
We show that the factorial flagged Grothendieck polynomials defined by flagged set-valued tableaux of Knutson-Miller-Yong can be expressed by a Jacobi-Trudi type determinant formula, generalizing the work of Hudson-Matsumura. In particular, we obtain an alternative proof of the tableau and determinant formulas of vexillary double Grothendieck polynomials, that have been obtained by Knutson-Miller-Yong and Hudson-Matsumura respectively. Moreover, we show that each factorial flagged Grothendieck polynomial can be obtained from a product of linear polynomials by applying K-theoretic divided difference operators.
Cite
@article{arxiv.1903.02169,
title = {Factorial Flagged Grothendieck Polynomials},
author = {Tomoo Matsumura and Shogo Sugimoto},
journal= {arXiv preprint arXiv:1903.02169},
year = {2019}
}
Comments
12 pages