
Journal of Lie Theory 29 (2019), No. 1, 247262 Copyright Heldermann Verlag 2019 Derivations of Extended MultiLoop Algebras S. Azam Dept. of Mathematics, University of Isfahan, P.O. Box 81745163, Isfahan, Iran azam@ipm.ir G. Behboodi Dept. of Mathematics, University of Isfahan, P.O. Box 81745163, Isfahan, Iran gh.behboodi@ipm.ir We develop the notion of "extended multiloop algebras" and determine their derivation algebras. Extended multiloop algebras appear naturally as the core modulo center of locally extended affine Lie algebras; they are in fact an extension of nstep multiloop 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. Keywords: Derivation, multiloop algebra, tensor product of algebras. MSC: 17B65, 17B40; 17B67, 17B70 [ Fulltextpdf (143 KB)] for subscribers only. 