Exposition on affine and elliptic root systems and elliptic Lie algebras

Details Exposition on affine and elliptic root systems and elliptic Lie algebras Exposition on affine and elliptic root systems and elliptic Lie algebras

2009-10-11

arxiv.org/abs/0910.1959v1

Mathematics

Quantum Algebra

Submitted to RIMS Kokyuroku Bessatsu

Scientific paper

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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