Journal of Lie Theory 29 (2019), No. 1, 247--262
Copyright Heldermann Verlag 2019
Derivations of Extended Multi-Loop Algebras
S. Azam
Dept. of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran
azam@ipm.ir
G. Behboodi
Dept. of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran
gh.behboodi@ipm.ir
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.
Keywords: Derivation, multi-loop algebra, tensor product of algebras.
MSC: 17B65, 17B40; 17B67, 17B70
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