Artículos de revistas
Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2
Pianzola, Arturo; Allison, Bruce; Berman, Stephen; Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2; European Mathematical Society; Journal of the European Mathematical Society; 16; 2; 1-2014; 327-385
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(n) 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 other classes of Lie algebras: the class of all loop algebras of affine Lie algebras and the class of all extended affine Lie algebras of nullity 2.
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