Derivations of certain algebras defined by étale descent. (English) Zbl 1257.17035
Summary: We give an explicit description of the Lie algebra of derivations for a class of infinite dimensional algebras which are given by étale descent. The algebras under consideration are twisted forms of central algebras over rings, and include the multiloop algebras that appear in the construction of extended affine Lie algebras.
MSC:
| 17B67 | Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras |
| 17B40 | Automorphisms, derivations, other operators for Lie algebras and super algebras |
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