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| Paper IPM / M / 8288 |
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| Abstract: | |
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This article is about the derivation algebra of multi-loop
algebras. Multi-loop algebras are algebras obtained by a
generalization of a process known as twisting by automorphisms in
the theory of Kac-Moody algebras. Multi-loop algebras are used in
the realization of extended affine Lie algebras. Under certain
conditions on an algebra A, we determine the
derivation algebra of an n-step multi-loop algebra based on
A as the semidirect product of a multi-loop algebra
based on the derivation algebra of A and the
derivation algebra of the Laurent polynomials in n-variables.
This in particular determines the derivation algebras of the core
modulo center of (almost all) extended affine Lie algebras.
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