Generalized Kac-Moody Lie Algebras And Product Quivers

Details Generalized Kac-Moody Lie Algebras And Product Quivers Generalized Kac-Moody Lie Algebras And Product Quivers

2006-10-14

arxiv.org/abs/math/0610448v1

Mathematics

Representation Theory

Scientific paper

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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