Extension of Vertex Operator Algebra VH4(e, <em>0</em>)

• 作者: Cuipo Jiang Song Wang
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 顶点算子代数 不可约表示 海森堡代数 表示理论 顶点代数 李代数 扩展名 模块
• 年，卷（期）: 2014,（3）
• 页码范围: 361-380
• 页数: 20页
• 分类号: O152
• 语种: 中文

摘要

We classify the irreducible restricted modules for the affine Nappi-Witten Lie algebra H4 with some natural conditions. It turns out that the representation theory of H4 is quite different from the theory of representations of Heisenberg algebras. We also study the extension of the vertex operator algebra VH4 (e, 0) by the even lattice L. We give the structure of the extension VH4 (e, 0) [L] and its irreducible modules via irreducible representations of VH4(e, 0) viewed as a vertex algebra.