English

Exposition on affine and elliptic root systems and elliptic Lie algebras

Quantum Algebra 2009-10-13 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.0910.1959,
  title  = {Exposition on affine and elliptic root systems and elliptic Lie algebras},
  author = {Saeid Azam and Hiroyuki Yamane and Malihe Yousofzadeh},
  journal= {arXiv preprint arXiv:0910.1959},
  year   = {2009}
}

Comments

Submitted to RIMS Kokyuroku Bessatsu