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math.CO2018
Characterization of queer supercrystals
Maria Gillespie, Graham Hawkes, Wencin Poh +1
We provide a characterization of the crystal bases for the quantum queer superalgebra recently introduced by Grantcharov et al.. This characterization is a combination of local que…
math.CO2018
Generalized Staircase Tableaux: Symmetry and Applications
Graham Hawkes
We define a number of related combinatorial objects, each of which possesses a surprising symmetry. We include several applications such as a combinatorial explanation for certain…
math.CO2018
Crystal Structures for Double Stanley Symmetric Functions
Graham Hawkes
We relate the combinatorial definitions of the type and type Stanley symmetric functions, via a combinatorially defined "double Stanley symmetric function," which gives…