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Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2

Bruce AllisonStephen BermanArturo Pianzola — 2014

Journal of the European Mathematical Society

Let 𝕄 n be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n -tuples of commuting finite order automorphisms. It is a classical result that 𝕄 1 is the class of all derived algebras modulo their centres of affine Kac-Moody Lie algebras. This combined with the Peterson-Kac conjugacy theorem for affine algebras results in a classification of the algebras in 𝕄 1 . In this paper, we classify the algebras in 𝕄 2 , and further determine the relationship between 𝕄 2 and two...

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