Exposition on affine and elliptic root systems and elliptic Lie algebras

zbMATH Open1292.17009arXiv0910.1959MaRDI QIDQ4914634

Hiroyuki Yamane, Malihe Yousofzadeh, Saeid Asam

Publication date: 15 April 2013

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/0910.1959

zbMATH Keywords

affine root systemselliptic root systemselliptic Lie algebra2-extended affine Lie algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Root systems (17B22)

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EXPONENTIAL FORM OF BIQUATERNIONIC VARIABLES IN CLIFFORD ANALYSIS ⋮ Extended affine root system. IV: Simply-laced elliptic Lie algebras

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