bruhat order 1crystal bases 1quasisymmetric functions 1stanley symmetric functions 1symmetric functions 1young quasisymmetric schur functions 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Contractions and applications of crystal skeletons: Young quasisymmetric and Stanley symmetric functions
Sarah Brauner, Zajj Daugherty, Sarah Mason +1
The paper studies how crystal skeletons of slₙ‑crystals can be further decomposed into quasicrystal skeletons whose characters are Young quasisymmetric Schur functions, and shows h…
math.RT2026
The orientifold Temperley--Lieb algebra
Chris Bowman, Zajj Daugherty, Maud De Visscher +2
We construct gradings on the simple modules of 2-boundary Temperley--Lieb algebras and symplectic blob algebras by realising the latter algebras as quotients of Varagnolo--Vasserot…
math.CO2025
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 mode…