Connecting marginally large tableaux and rigged configurations via crystals

Abstract

We show that the bijection from rigged configurations to tensor products of Kirillov-Reshetikhin crystals extends to a crystal isomorphism between the $B(\infty )$ models given by rigged configurations and marginally large tableaux.

22 pages, 3 figures

References in corpus (4)

• X=M for symmetric powers
• Perfect Crystals for U_q(D_4^{(3)})
• A rigged configuration model for $B(\infty )$
• A crystal to rigged configuration bijection and the filling map for type $D_4^{(3)}$

Cited by in corpus (6)

• Rigged configurations and the $\ast$-involution
• Rigged configurations as tropicalizations of loop Schur functions
• Uniform description of the rigged configuration bijection
• Alcove path model for $B(\infty )$
• Virtual Crystals and Nakajima Monomials
• Rigged Configuration Descriptions of the Crystals B(infinity) and B(lambda) for Special Linear Lie Algebras