A rigged configuration model for B(∞)

2014/04/30 by Ben Salisbury, Travis Scrimshaw · 1 citation
Mathematics · #math.CO #math.QA #math.RT #msc:05E10 #msc:17B37

paper · pdf · doi:10.1016/j.jcta.2015.01.008

published as J. Combin. Theory Ser. A 133 (2015), pp. 29-57

arxiv created 2015/02/12 · arxiv updated 2015/02/13

Abstract

We describe a combinatorial realization of the crystals B(∞) and B(λ) using rigged configurations in all symmetrizable Kac-Moody types up to certain conditions. This includes all simply-laced types and all non-simply-laced finite and affine types.

Cited by

• A new description of the bicrystal B(∞) and the extended crystal