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math.CO2023
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…
math.CO2023
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…