42 citations · 283 across the 36 of their papers we have counts for
42 papers
A Littlewood-Richardson rule for Grassmannian Schubert varieties
Sami H. Assaf
We propose a combinatorial model for the Schubert structure constants of the complete flag manifold when one of the factors is Grassmannian.
Extremal tensor products of Demazure crystals
Sami Assaf, Anne Dranowski, Nicolle Gonzalez
Demazure crystals are subcrystals of highest weight irreducible -crystals. In this article, we study tensor products of a larger class of subcrystals, called extremal…
An insertion algorithm for multiplying Demazure characters by Schur polynomials
Sami H. Assaf
We introduce an insertion algorithm on Kohnert's combinatorial model for Demazure characters, generalizing Robinson--Schensted--Knuth insertion on tableaux. Our new insertion yield…
Queer dual equivalence graphs
Sami H. Assaf
We introduce a new paradigm for proving the Schur -positivity. Generalizing dual equivalence, we give an axiomatic definition for a family of involutions on a set of objects to…
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…