3 citations · 3 across the 4 of their papers we have counts for
4 papers
Grothendieck positivity for normal square root crystals
Eric Marberg, Kam Hung Tong, Tianyi Yu
Normal crystals (also known as Stembridge crystals) are commonly used to establish the Schur positivity of symmetric functions, as their characters are sums of Schur polynomials. I…
Crystals for set-valued decomposition tableaux
Eric Marberg, Kam Hung Tong
We describe two crystal structures on set-valued decomposition tableaux. These provide the first examples of interesting "-theoretic" crystals on shifted tableaux. Our first cry…
Primed decomposition tableaux and extended queer crystals
Eric Marberg, Kam Hung Tong
Our previous work introduced a category of extended queer crystals, whose connected normal objects have unique highest weight elements and characters that are Schur -polynomials…
Highest weight crystals for Schur Q-functions
Eric Marberg, Kam Hung Tong
Work of Grantcharov et al. develops a theory of abstract crystals for the queer Lie superalgebra . Such -crystals form a monoidal category in which…