Quantizations of the Extended Affine Lie Algebra Sl2(Cq)

• 作者: Junbo Li Ying Xu
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 仿射李代数 量化 代数结构 Hopf 量子化 余交换 非交换 同构
• 年，卷（期）: 2015,（4）
• 页码范围: 581-602
• 页数: 22页
• 分类号: O152.5
• 语种: 中文

摘要

In this paper, the extended affine Lie algebra sl2(Cq) is quantized from three different points of view, which produces three non-commutative and non-cocommutative Hopf algebra structures, and yields other three quantizations by an isomorphism of sl2 (Cq) correspondingly. Moreover, two of these quantizations can be restricted to the extended affine Lie algebra sl2(Cq).