Covering Algebras II: Isomorphism of Loop Algebras

Details Covering Algebras II: Isomorphism of Loop Algebras Covering Algebras II: Isomorphism of Loop Algebras

2002-11-04

arxiv.org/abs/math/0211068v1

J. Reine Angew. Math. 571 (2004), 39-71

Mathematics

Quantum Algebra

Scientific paper

This paper studies the loop algebras that arise from pairs consisting of a
symmetrizable Kac-Moody Lie algebra $\g$ and a finite order automorphism
$\sigma$ of $\g$. We obtain necessary and sufficient conditions for two such
loop algebras to be isomorphic.

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