Leibniz Central Extension on a Block Lie Algebra

• 来源期刊: 代数集刊（英文版）
• 关键词: cohomology group Leibniz 2-cocycle central extension
• 年，卷（期）: 2007,（4）
• 页码范围: 713-720
• 页数: 8页
• 语种: 英文

摘要

Let B be the Lie algebra over C with basis {Lm,n | m, n ∈ Z, n≥0} and relations [Lm,n,Lm1 ,n1 ]=((n+1)m1-(n1+1)m) Lm+m1,n+n1. In this paper, we determine the second cohomology group and the second Leibniz cohomology group of B.