9 citations · 33 across the 13 of their papers we have counts for
15 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…
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…
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…
Set-valued tableaux for Macdonald polynomials
Zajj Daugherty, Arun Ram
Set-valued tableaux formulas play an important role in Schubert calculus. Using the box greedy reduced word for the construction of the Macdonald polynomials, we convert the alcove…
Calibrated representations of two boundary Temperley-Lieb algebras
Zajj Daugherty, Arun Ram
The two boundary Temperley-Lieb algebra arises in the transfer matrix formulation of lattice models in Statistical Mechanics, in particular in the introduction of integrable…
On calibrated representations of the degenerate affine periplectic Brauer algebra
Zajj Daugherty, Iva Halacheva, Mee Seong Im +1
We initiate the representation theory of the degenerate affine periplectic Brauer algebra on strands by constructing its finite-dimensional calibrated representations when $n=2…