A generalization of extended affine Lie algebrs

Mathematics – Quantum Algebra

Scientific paper

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25 pages

Scientific paper

We introduce a new class of possibly infinite dimensional Lie algebras and
study their structural properties. Examples of this new class of Lie algebras
are finite dimensional simple Lie algebras containing a nonzero split torus,
affine and extended affine Lie algebras. Our results generalize well-known
properties of these examples.

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