Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation

• 作者: Fulin Chen Naihuan Jing Fei Kong Shaobin Tan
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2021,（6）
• 所属期刊栏目: Articles
• 页码范围: 1181-1200
• 页数: 20页
• 语种: 英文

摘要

Let g be a (twisted or untwisted) affine Kac-Moody algebra,and μ be a diagram automorphism of g.In this paper,we give ah explicit realization for the universal central extension (g)[μ]of the twisted loop algebra of g with respect to μ,which provides a Moody-Rao-Yokonuma presentation for the algebra (g)[μ]when μ is non-transitive,and the presentation is indeed related to the quantization of twisted toroidal Lie algebras.