Quantum periodicity and Kirillov-Reshetikhin modules
Representation Theory
2020-05-18 v2 Quantum Algebra
Abstract
We give a proof of the periodicity of quantum -systems of type with certain spiral boundary conditions. Our proof is based on categorification of the -system in terms of the representation theory of quantum affine algebras, more precisely on relations between classes of Kirillov-Reshetikhin modules and of evaluation modules.
Keywords
Cite
@article{arxiv.1906.12268,
title = {Quantum periodicity and Kirillov-Reshetikhin modules},
author = {David Hernandez},
journal= {arXiv preprint arXiv:1906.12268},
year = {2020}
}
Comments
13 pages; v2 : typos corrected, boundary conditions in Theorem 2.7 recalled. Accepted for publication in Progress in Mathematics (vol. in Honor of N. Reshetikhin)