Two-parameter quantum vertex representations via finite groups and the McKay correspondence
Quantum Algebra
2011-09-13 v1 High Energy Physics - Theory
Representation Theory
Abstract
We introduce two-parameter quantum toroidal algebras of simply laced types and provide their group theoretic realization using finite subgroups of via McKay correspondence. In particular our construction contains a realization of the vertex representation of the two-parameter quantum affine algebras of types.
Cite
@article{arxiv.0909.1730,
title = {Two-parameter quantum vertex representations via finite groups and the McKay correspondence},
author = {Naihuan Jing and Honglian Zhang},
journal= {arXiv preprint arXiv:0909.1730},
year = {2011}
}