We give an algebraic proof of the determinant formulas for factorial Grothendieck polynomials obtained by Hudson–Ikeda–Matsumura–Naruse in  and by Hudson–Matsumura in .
"An algebraic proof of determinant formulas of Grothendieck polynomials." Proc. Japan Acad. Ser. A Math. Sci. 93 (8) 82 - 85, October 2017. https://doi.org/10.3792/pjaa.93.82