Generalized Kac-Moody Lie Algebras And Product Quivers

2006/10/14 by Li, Yiqiang, Lin, Zongzhu
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0610448

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.

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