13 citations · 17 across the 3 of their papers we have counts for
3 papers
math.QA2003★ 1 cited
Path model for quantum loop modules of fundamental type
Jacob Greenstein, Polyxeni Lamprou
For a certain class of simple integrable modules of level zero over a quantised affine algebra, we establish the existence of a pseudo-crystal basis and show that such a basis admi…
math.QA2002★ 13 cited
Quantum loop modules
Vyjayanthi Chari, Jacob Greenstein
We classify the simple infinite dimensional integrable modules with finite dimensional weight spaces over the quantized enveloping algebra of an untwisted affine algebra. We prove…
math.QA2002★ 3 cited
Littelmann's path crystal and combinatorics of certain sl_{l+1}^ modules of level zero
Jacob Greenstein
We construct a subcrystal of the Littelmann's path crystal whose formal character coincides with that of a certain simple integrable module of level zero over the untwisted affine…