Schur Positivity and Kirillov-Reshetikhin Modules
Representation Theory
2014-06-05 v2 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1403.4750,
title = {Schur Positivity and Kirillov-Reshetikhin Modules},
author = {Ghislain Fourier and David Hernandez},
journal= {arXiv preprint arXiv:1403.4750},
year = {2014}
}