The Lie Conformal Algebra of a Block Type Lie Algebra

• 作者: Ming Gao Xiaoqing Yue Ying Xu
• 来源期刊: 代数集刊:英文版
• 学科: 工学
• 关键词: 李代数 共形 块型 基础 L形
• 年，卷（期）: 2015,（3）
• 页码范围: 367-382
• 页数: 16页
• 分类号: TU522.3
• 语种: 中文

摘要

Let L be a Lie algebra of Block type over C with basis {Lα,i | a,i ∈ Z} and brackets [Lα,i, Lβ,j] = (β(i + 1) - α(j + 1))Lα+β,i+j. In this paper, we first construct a formal distribution Lie algebra of L. Then we decide its conformal algebra B with C[δ]- basis { Lα(w) | α ∈ Z} and λ-brackets [Lα(w)λLβ(w)] = (αδ + (α +β)A)Lα+β(w). Finally, we give a classification of free intermediate series B-modules.