15 citations · 26 across the 6 of their papers we have counts for
6 papers
Towards a Combinatorial Model for -weight Multiplicities of Simple Lie Algebras (Extended Abstract)
Cédric Lecouvey, Cristian Lenart, Adam Schultze
Kostka-Foulkes polynomials are Lusztig's -analogues of weight multiplicities for irreducible representations of semisimple Lie algebras. It has long been known that these polyno…
On Combinatorial Models for Affine Crystals
Carly Briggs, Cristian Lenart, Adam Schultze
The tableau model for Kirillov-Reshetikhin (KR) crystals, which are finite dimensional crystals corresponding to certain affine Lie algebras, is commonly used for its ease of cryst…
On Combinatorial Models for Affine Crystals
Cristian Lenart, Adam Schultze
We biject two combinatorial models for tensor products of (single-column) Kirillov-Reshetikhin crystals of any classical type : the quantum alcove model and the tableau model.…
PBW bases and marginally large tableaux in type D
Ben Salisbury, Adam Schultze, Peter Tingley
We give an explicit description of the unique crystal isomorphism between two realizations of in type : that using marginally large tableaux and that using PBW monom…
Combinatorial descriptions of the crystal structure on certain PBW bases
Ben Salisbury, Adam Schultze, Peter Tingley
Using the theory of PBW bases, one can realize the crystal for any semisimple Lie algebra over using Kostant partitions as the underlying set. In fact ther…
Combinatorial descriptions of the crystal structure on certain PBW bases (extended abstract)
Ben Salisbury, Adam Schultze, Peter Tingley
Lusztig's theory of PBW bases gives a way to realize the infinity crystal for any simple complex Lie algebra where the underlying set consists of Kostant partitions. In fact, there…