4 papers
Contractions and applications of crystal skeletons: Young quasisymmetric and Stanley symmetric functions
Sarah Brauner, Zajj Daugherty, Sarah Mason +1
The character of a connected -crystal is a Schur polynomial; the crystal can be further decomposed into quasicrystals, whose characters are the Gessel quasisymmetr…
Uncrowding the 5-Vertex Model: RSK and Crystal Structures
Lisa Johnston, Evuilynn Nguyen, Anne Schilling
While the uncrowding algorithm on set-valued tableaux has long been instrumental in proving the Schur positivity of stable symmetric Grothendieck polynomials, lattice models have e…
-deformations of the Tsetlin library
Arvind Ayyer, Sarah Brauner, Jan de Gier +1
The Tsetlin library is a random shuffling process on permutations of letters, where each letter can be interpreted as a book; book is brought to the front of the booksh…
Crystal skeletons: Combinatorics and axioms
Sarah Brauner, Sylvie Corteel, Zajj Daugherty +1
Crystal skeletons were introduced by Maas-Gariépy in 2023 by contracting quasi-crystal components in a crystal graph. On the representation theoretic level, crystal skeletons model…