1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CO2016★ 1 cited
Alcove path model for
Arthur Lubovsky, Travis Scrimshaw
We construct a model for using the alcove path model of Lenart and Postnikov. We show that the continuous limit of our model recovers a dual version of the Littelmann p…
math.RT2015
A uniform realization of the combinatorial -matrix
Cristian Lenart, Arthur Lubovsky
Kirillov-Reshetikhin crystals are colored directed graphs encoding the structure of certain finite-dimensional representations of affine Lie algebras. A tensor products of column s…
math.CO2011
A generalization of the alcove model and its applications
Cristian Lenart, Arthur Lubovsky
The alcove model of the first author and A. Postnikov uniformly describes highest weight crystals of semisimple Lie algebras. We construct a generalization, called the quantum alco…