Derivations of extended multi-loop algebras

Abstract

We develop the notion of “extended multi-loop algebras” and determine their derivation algebras. Extended multi-loop algebras appear naturally as the core modulo center of locally extended affine Lie algebras; they are in fact an extension of n-step multi-loop algebras where the number of automorphisms are allowed to be possibly infinite and also the coordinate algebras (Laurent polynomials) are allowed to be over an infinite number of variables. © 2019 Heldermann Verlag.