Beyond Kirillov-Reshetikhin modules
Quantum Algebra
2010-04-07 v2 Representation Theory
Abstract
In this survey, we shall be concerned with the category of finite-dimensional representations of the untwisted quantum affine algebras when the quantum parameter q is not a root of unity. We review the foundational results of the subject, including the Drinfeld presentation, the classification of simple modules and q-characters. We then concentrate on particular families of irreducible representations whose structure has recently been understood: Kirillov-Reshetikhin modules, minimal affinizations and beyond.
Cite
@article{arxiv.0812.1716,
title = {Beyond Kirillov-Reshetikhin modules},
author = {Vyjayanthi Chari and David Hernandez},
journal= {arXiv preprint arXiv:0812.1716},
year = {2010}
}
Comments
35 pages