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R. Shen, Q. Jiang and Y. Su. Verma modules over the generalized Heisenberg-Virasoro algebra. Communications in Algebra, 2008, 36(4): 1464-1473.

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• 标题: 一类与Virasoro代数密切相关的W-型李代数的最高权表示Highest Weight Representations of W-Type Lie Algebra Related with Virasoro Algebra

  作者: 程永胜, 陈河山

  关键字: W-型李代数, Virasoro代数, Verma-模W-Type Lie Algebra; Virasoro Algebra; Verma Module

  期刊名称: 《Pure Mathematics》, Vol.2 No.4, 2012-11-01

  摘要: W-代数是用来描述理论物理中的共形场论的一类代数，它的结构理论和表示理论我们都知之甚少。本文研究一类与Virasoro代数密切相关的W型-李代数的最高权表示理论。 W-algebra is a family algebras which are used to describe the conformal field theory. Up to now, the structure theory and representation theory we have obtained are very little. In this paper, we investigate the highest weight representations over a W-type Lie algebra related to Virasoro algebra.