36 citations · 196 across the 42 of their papers we have counts for
4 papers · 1 filter
A minimaj-preserving crystal on ordered multiset partitions
Georgia Benkart, Laura Colmenarejo, Pamela E. Harris +4
We provide a crystal structure on the set of ordered multiset partitions, which recently arose in the pursuit of the Delta Conjecture. This conjecture was stated by Haglund, Remmel…
Chip firing on Dynkin diagrams and McKay quivers
Georgia Benkart, Caroline Klivans, Victor Reiner
Two classes of avalanche-finite matrices and their critical groups (integer cokernels) are studied from the viewpoint of chip-firing/sandpile dynamics, namely, the Cartan matrices…
The Combinatorics of -webs
Georgia Benkart, Soojin Cho, Dongho Moon
The nonelliptic -webs with ""s on the top boundary and ""s on the bottom boundary combinatorially model the space $\mathsf{Hom}_{\mathfrak{sl}_3}(\m…
Motzkin Algebras
Georgia Benkart, Tom Halverson
We introduce an associative algebra $\M_k(x)$ whose dimension is the -th Motzkin number. The algebra $\M_k(x)$ has a basis of "Motzkin diagrams," which are analogous to Brauer…