Rigged Configurations and Kashiwara Operators

Symmetry Integrability and Geometry-Methods and Applications

article

Reiho Sakamoto¹ 

[1] Department of Physics, Tokyo University of Science

关键词: crystal bases;    rigged configurations;    quantum af fine algebras;    box-ball systems;   

DOI  :  10.3842/SIGMA.2014.028

来源: National Academy of Science of Ukraine

【 摘 要 】

For types $A^{(1)}_n$ and $D^{(1)}_n$ we prove that the rigged configuration bijection intertwines the classical Kashiwara operators on tensor products of the arbitrary Kirillov-Reshetikhin crystals and the set of the rigged configurations.

【 授权许可】

Unknown