EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS

作者:Azam Saeid*; Hosseini S Reza; Yousofzadeh Malihe
来源:Osaka Journal of Mathematics, 2013, 50(4): 1039-1072.

摘要

The class of invariant affine reflection algebras is the most general known extension of the class of affine Kac-Moody Lie algebras, introduced in 2008. We develop a method known as "affinization" for the class of invariant affine reflection algebras, and show that starting from an algebra belonging to this class together with a certain finite order automorphism, and applying the so called "affinization method", we obtain again an invariant affine reflection algebra. This can be considered as an important step towards the realization of invariant affine reflection algebras.

  • 出版日期2013-12