Rigged configurations and the $\ast$-involution

Abstract

We give an explicit description of the $\ast$-involution on the rigged configuration model for $B(\infty )$.

20 pages; updated grant information for TS

References in corpus (4)

• Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
• X=M for symmetric powers
• A rigged configuration model for $B(\infty )$
• Type $D_n^{(1)}$ rigged configuration bijection

Cited by in corpus (7)

• Rigged configuration bijection and proof of the $X=M$ conjecture for nonexceptional affine types
• Uniform description of the rigged configuration bijection
• Candidate for the crystal $B(-\infty )$ for the queer Lie superalgebra
• Rigged configurations and the $\ast$-involution for generalized Kac--Moody algebras
• Alcove path model for $B(\infty )$
• A new description of the bicrystal $B(\infty )$ and the extended crystal
• Virtual Crystals and Nakajima Monomials