Lie Tori and Their Fixed Point Subalgebras

Author:

Azam Saeid1,Khalili Valiollah1

Affiliation:

1. Department of Mathematics, University of Isfahan, P.O. Box 81745, Isfahan, Iran

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Extended affine Lie superalgebras and their affinizations;Communications in Algebra;2019-04-21

2. ON UNIVERSAL COVERINGS OF LIE TORI;Bulletin of the Korean Mathematical Society;2012-11-30

3. ROOT SYSTEMS ARISING FROM AUTOMORPHISMS;Journal of Algebra and Its Applications;2012-05-24

4. Extension Data and Their Lie Algebras;Algebra Colloquium;2011-09

5. A Finite Presentation of Universal Coverings of Lie Tori;Publications of the Research Institute for Mathematical Sciences;2010

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