Lie tori and their fixed point subalgebras

Abstract

We study the fixed point subalgebra of a centerless irreducible Lie torus under a certain finite order automorphism. We investigate which axioms of a Lie torus hold for the fixed points and which do not. We relate our study to some recent results about the fixed points of extended affine Lie algebras under a class of finite order automorphisms. © 2009 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and Suzhou University.