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Covering Algebras II: Isomorphism of Loop Algebras

Bruce Allison, Stephen Berman, Arturo Pianzola

math.QAarXiv:math/0211068

Abstract

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

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