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arxiv: 0910.1959 · v1 · submitted 2009-10-11 · 🧮 math.QA · math.RT

Exposition on affine and elliptic root systems and elliptic Lie algebras

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keywords ellipticrootaffinealgebrasexpositionalgebrabasedefinition
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This is an exposition in order to give an explicit way to understand (1) a non-topological proof for an existence of a base of an affine root system, (2) a Serre-type definition of an elliptic Lie algebra with rank =>2, and (3) the isotropic root multiplicities of those elliptic Lie algebras.

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