Descent constructions for central extensions of infinite dimensional Lie algebras

Mathematics – Algebraic Geometry

Scientific paper

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13 pages, minor corrections

Scientific paper

We use Galois descent to construct central extensions of twisted forms of
split simple Lie algebras over rings. These types of algebras arise naturally
in the construction of Extended Affine Lie Algebras. The construction also
gives information about the structure of the group of automorphisms of such
algebras.

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