42 citations · 283 across the 36 of their papers we have counts for
4 papers · 1 filter
Kohnert's rule for flagged Schur modules
Sam Armon, Sami Assaf, Grant Bowling +1
Flagged Schur modules generalize the irreducible representations of the general linear group under the action of the Borel subalgebra. Their characters include many important gener…
A bijective proof of Kohnert's rule for Schubert polynomials
Sami H. Assaf
Kohnert proposed the first monomial positive formula for Schubert polynomials as the generating polynomial for certain unit cell diagrams obtained from the Rothe diagram of a permu…
Demazure crystals for Kohnert polynomials
Sami Assaf
Kohnert polynomials are polynomials indexed by unit cell diagrams in the first quadrant defined earlier by the author and Searles that give a common generalization of Schubert poly…
Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials
Sami Assaf, Nicolle Gonzalez
We give a crystal-theoretic proof that nonsymmetric Macdonald polynomials specialized to are affine Demazure characters. We explicitly construct an affine Demazure crystal on…