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顶点算子代数的模扩张 被引量:1

Adjoining a Module to a Vertex Operator Algebra
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摘要 设(V,Y,1,w)是一顶点算子代数,W是一Z分次V-模,令U=V W,对任何v,v′∈V,w,w′∈W,定义Yu(v,x)(v′+w)′=Y(v,x)v′+Yw(v,x)w′Yu(w,x)(v′+w′)=exDYw(v′,-x)w,其中D=L(-1),则在线性扩张下(U,Yu,1,w)是一顶点算子代数. Let( V, Y, 1 ,w)be a vertex operator algebra and let W be a Z-graded V-module. Set U=V+W.For v,v′∈V,w,w′∈W,define YU (v,x)(v′+w′)=Y(v,x)v′+YW(v,x)w′,YU(w,x)(v′+w′)=d/dx Yw (v′,-x)w,wher D=L(-1).Then by linearity, ( U, YU, 1 ,w) carries the structure of a vertex operator algebra.
作者 高永存
出处 《北京广播学院学报(自然科学版)》 2005年第3期20-22,共3页 Journal of Beijing Broadcasting Institute(Science and Technology)
基金 国家自然科学基金(No.10371057) 广电总局高校自然科学基金(BG0208 BG0302)
关键词 顶点算子代数 Jacobi等式 Vertex operator algebra Module Jacobi identity
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共引文献2

同被引文献4

  • 1[2]Wang Shuqin.Construction of the vertex operator algebra of associated to finite nondegenerate solvable Lie algebra.Acta Math Sin.,2005,48(5):867 ~ 878.
  • 2[3]Lepowsky L.,Li.H.S.Inroduction to vertex algebra and their representation.Progress in Math.,227,Boston:Birkhauser,2003.
  • 3[4]Wan Zhexian.Introduction to Kac-Moody Algebra.Beijing:Science Publishers,1993 (in Chinese).
  • 4[6]Huphreys J E.Introduction to Lie algebras and Representation Theory.Graduate Text of Mathematics 9.New York:Springer -Verls,1972.

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