Covering Algebras II: Isomorphism of Loop Algebras
classification
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algebrasloopalgebraariseautomorphismconditionsconsistingcovering
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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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