Schur Positivity and Kirillov-Reshetikhin Modules

Symmetry Integrability and Geometry-Methods and Applications

article

Ghislain Fourier¹  David Hernandez² 

[1] School of Mathematics and Statistics, University of Glasgow;Institut de Mathématiques de Jussieu - Paris Rive Gauche CNRS UMR 7586

关键词: Kirillov–Reshetikhin modules;    Q-systems;    Schur positivity;   

DOI  :  10.3842/SIGMA.2014.058

来源: National Academy of Science of Ukraine

【 摘 要 】

In this note, inspired by the proof of the Kirillov-Reshetikhin conjecture, we consider tensor products of Kirillov-Reshetikhin modules of a fixed node and various level. We fix a positive integer and attach to each of its partitions such a tensor product. We show that there exists an embedding of the tensor products, with respect to the classical structure, along with the reverse dominance relation on the set of partitions.

【 授权许可】

Unknown