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
DOI: 10.12677/PM.2012.24036, PDF, HTML, 下载: 3,457  浏览: 9,510  国家自然科学基金支持
作者: 程永胜：河南大学，现代数学研究所数学与信息科学学院；陈河山*：河南大学欧亚学院
关键词: W-型李代数；Virasoro代数；Verma-模；W-Type Lie Algebra; Virasoro Algebra; Verma Module
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。
Abstract: 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.
文章引用：程永胜, 陈河山. 一类与Virasoro代数密切相关的W-型李代数的最高权表示[J]. 理论数学, 2012, 2(4): 237-242. http://dx.doi.org/10.12677/PM.2012.24036

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