The algebra $U_q(\hat{sl}_\infty)$ and applications
Quantum Algebra
2011-03-08 v2 Representation Theory
Abstract
In this note we consider the algebra and we study the category O of its integrable representations. The main motivations are applications to quantum toroidal algebras, more precisely predictions of character formulae for representations of quantum toroidal algebras. In this context, we state a general positivity conjecture for representations of viewed as representations of quantum toroidal algebras, that we prove for Kirillov-Reshetikhin modules.
Cite
@article{arxiv.1001.3047,
title = {The algebra $U_q(\hat{sl}_\infty)$ and applications},
author = {David Hernandez},
journal= {arXiv preprint arXiv:1001.3047},
year = {2011}
}
Comments
20 pages, 5 figures