English

Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes

Representation Theory 2020-11-04 v1 Combinatorics

Abstract

We show that the Kirillov--Reshetikhin crystal Br,sB^{r,s} exists when rr is a node such that the Kirillov--Reshetikhin module Wr,sW^{r,s} has a multiplicity free classical decomposition.

Keywords

Cite

@article{arxiv.1902.00769,
  title  = {Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes},
  author = {Rekha Biswal and Travis Scrimshaw},
  journal= {arXiv preprint arXiv:1902.00769},
  year   = {2020}
}

Comments

12 pages, 1 figure, 1 table