Elsevier

Advances in Mathematics

Volume 83, Issue 1, September 1990, Pages 30-47
Advances in Mathematics

The monster Lie algebra

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Abstract

We calculate the multiplicities of all the roots of the “monster Lie algebra.” This gives an example of a Lie algebra all of whose simple roots and root multiplicities are known and which is not finite dimensional or an affine Kac-Moody algebra. There seem to be several similar infinite dimensional Lie algebras, which to a sympathetic eye appear to correspond to some of the sporadic simple groups.

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