Rigged Configurations and Kashiwara Operators
Quantum Algebra
2014-03-28 v3
Abstract
For types and 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.
Keywords
Cite
@article{arxiv.1302.4562,
title = {Rigged Configurations and Kashiwara Operators},
author = {Reiho Sakamoto},
journal= {arXiv preprint arXiv:1302.4562},
year = {2014}
}
Comments
v2: 108 pages, the author's final version for publication, Proposition 33 added, Section 7.3 partially reworked; v3: published version (Special Issue in honor of Anatol Kirillov and Tetsuji Miwa)