Kohnert polynomials were introduced by Assaf and Searles in [AS22b]. This is a large family of polynomials, which contains several of the classical families as special cases, in particular the family of Schubert polynomials and key polynomials.
See [AABE23] for a representation-theoretical interpretation of Kohnert polynomials.
- [AABE23] Sam Armon, Sami Assaf, Grant Bowling and Henry Ehrhard. Kohnert's rule for flagged Schur modules. Journal of Algebra, 617:352–381, March 2023.
- [AS22b] Sami Assaf and Dominic Searles. Kohnert polynomials. Experimental Mathematics, 31(1):93–119, April 2022.
- [Ass21] Sami Assaf. Demazure crystals for Kohnert polynomials. Transactions of the American Mathematical Society, 375(3):2147–2186, December 2021.