Generalized Kac-Moody Lie Algebras And Product Quivers
Representation Theory
2007-05-23 v1
Abstract
We construct the entire generalized Kac-Moody Lie algebra as a quotient of the positive part of another generalized Kac-Moody Lie algebra. The positive part of a generalized Kac-Moody Lie algebra can be constructed from representations of quivers using Ringel's Hall algebra construction. Thus we give a direct realization of the entire generalized Kac-Moody Lie algebra.
Keywords
Cite
@article{arxiv.math/0610448,
title = {Generalized Kac-Moody Lie Algebras And Product Quivers},
author = {Yiqiang Li and Zongzhu Lin},
journal= {arXiv preprint arXiv:math/0610448},
year = {2007}
}