1 citations · 2 across the 6 of their papers we have counts for
10 papers
K-promotion on m-packed labelings of posets
Jamie Kimble, Bruce E. Sagan, Avery St. Dizier
Schutzenberger's promotion operator, pro, is a fundamental map in dynamical algebraic combinatorics. At first, its action was mainly considered on standard Young tableaux. But pro…
Log-concavity of characters of parabolic Verma modules, and of restricted Kostant partition functions
Apoorva Khare, Jacob P. Matherne, Avery St. Dizier
In 2022, Huh-Matherne-Mészáros-St. Dizier showed that normalized Schur polynomials are Lorentzian, thereby yielding their continuous (resp. discrete) log-concavity on the positive…
M-convexity of Grothendieck polynomials via bubbling
Elena S. Hafner, Karola Mészáros, Linus Setiabrata +1
We introduce bubbling diagrams and show that they compute the support of the Grothendieck polynomial of any vexillary permutation. Using these diagrams, we show that the support of…
Principal specialization of dual characters of flagged Weyl modules
Karola Mészáros, Avery St. Dizier, Arthur Tanjaya
Schur polynomials are special cases of Schubert polynomials, which in turn are special cases of dual characters of flagged Weyl modules. The principal specialization of Schur and S…
An orthodontia formula for Grothendieck polynomials
Karola Mészáros, Linus Setiabrata, Avery St. Dizier
We give a new operator formula for Grothendieck polynomials that generalizes Magyar's Demazure operator formula for Schubert polynomials. Our proofs are purely combinatorial, contr…
Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity
Jenna Rajchgot, Yi Ren, Colleen Robichaux +2
We give an explicit formula for the degree of the Grothendieck polynomial of a Grassmannian permutation and a closely related formula for the Castelnuovo-Mumford regularity of the…
Schubert polynomials as projections of Minkowski sums of Gelfand-Tsetlin polytopes
Ricky Ini Liu, Karola Mészáros, Avery St. Dizier
Gelfand-Tsetlin polytopes are classical objects in algebraic combinatorics arising in the representation theory of . The integer point transform of the…
Gelfand-Tsetlin polytopes: a story of flow and order polytopes
Ricky Ini Liu, Karola Mészáros, Avery St. Dizier
Gelfand-Tsetlin polytopes are prominent objects in algebraic combinatorics. The number of integer points of the Gelfand-Tsetlin polytope is equal to the dimension…
Zero-one Schubert polynomials
Alex Fink, Karola Mészáros, Avery St. Dizier
We prove that if is a pattern of , then we can express the Schubert polynomial as a monomial times (in reindexed variables)…
Schubert polynomials as integer point transforms of generalized permutahedra
Alex Fink, Karola Mészáros, Avery St. Dizier
We show that the dual character of the flagged Weyl module of any diagram is a positively weighted integer point transform of a generalized permutahedron. In particular, Schubert a…