3 papers
math.CO2020
Demazure crystals and the Schur positivity of Catalan functions
Jonah Blasiak, Jennifer Morse, Anna Pun
Catalan functions, the graded Euler characteristics of certain vector bundles on the flag variety, are a rich class of symmetric functions which include -Schur functions and par…
math.CO2018
-Schur expansions of Catalan functions
Jonah Blasiak, Jennifer Morse, Anna Pun +1
We make a broad conjecture about the -Schur positivity of Catalan functions, symmetric functions which generalize the (parabolic) Hall-Littlewood polynomials. We resolve the con…
math.CO2016
On Deposition of the Product of Demazure Atoms and Demazure Characters
Anna Ying Pun
This paper studies the properties of Demazure atoms and characters using linear operators and also tableaux-combinatorics. It proves the atom-positivity property of the product of…