Flagged Grothendieck polynomials
- Authors
- Type
- Published Article
- Journal
- Journal of Algebraic Combinatorics
- Publisher
- Springer US
- Publication Date
- Sep 27, 2018
- Volume
- 49
- Issue
- 3
- Pages
- 209–228
- Identifiers
- DOI: 10.1007/s10801-018-0841-3
- Source
- Springer Nature
- Keywords
- License
- Yellow
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.