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Flagged Grothendieck polynomials

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We show that the flagged Grothendieck polynomials defined as generating functions of flagged set-valued tableaux of Knutson et al. (J Reine Angew Math 630:1–31, 2009) can be expressed by a… Click to show full abstract

We show that the flagged Grothendieck polynomials defined as generating functions of flagged set-valued tableaux of Knutson et al. (J Reine Angew Math 630:1–31, 2009) can be expressed by a Jacobi–Trudi-type determinant formula generalizing the work of Hudson–Matsumura (Eur J Comb 70:190–201 2018). We also introduce the flagged skew Grothendieck polynomials in these two expressions and show that they coincide.

Keywords: grothendieck; flagged grothendieck; grothendieck polynomials

Journal Title: Journal of Algebraic Combinatorics
Year Published: 2017

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