W(a, b) Lie Conformal Algebra and Its Conformal Module of Rank One

• 作者: Xiaoqing Yue Ying Xu
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 李代数 共形 角模 Bi
• 年，卷（期）: 2015,（3）
• 页码范围: 405-412
• 页数: 8页
• 分类号: O152.5
• 语种: 中文

摘要

For any complex parameters a, b, let W(a, b) be the Lie algebra with basis {Li, Hi|i ∈ Z} and relations [Li,Lj] = (j - i)Li+j, [Li,Hj] = (a + j + bi)Hi+j and [Hi, Hi] = 0. In this paper, we construct the W(a, b) conformal algebra for some a, b and its conformal module of rank one.