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V型Heisenberg Virasoro代数 被引量:1

Heisenberg Virasoro Algebras of V Type
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摘要 引入了V型Heisenberg Virasoro代数的概念,它是Heisenberg Virasoro代数的一种自然推广,确定了V型Heisenberg Virasoro代数的具体结构. The author introduce the concept of Heisenberg Virasoro algebras of V type,which can be viewed as the universal central extension of the semidirect Lie algebras of the Virasoro algebra and one of its modules of intermediate series.This algebra is the natural generalization of the Heisenberg Virasoro algebra.The structures of these algebras are determined.
机构地区 郑州大学数学系
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2010年第2期116-119,122,共5页 Journal of Hebei University(Natural Science Edition)
基金 河北省自然科学基金资助项目(A2007000138)
关键词 HEISENBERG VIRASORO代数 VIRASORO代数 V型Heisenberg VIRASORO代数 Heisenberg Virasoro algebra Virasoro algebra Heisenberg Virasoro algebra of V type
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参考文献5

  • 1MATHIEU O.Classification of Harish-Chandra modules over the Virasoro algebra[J].Invent Math,1992,107:225-234.
  • 2ARBARELLO E,CONCINI C D,KAC V G,et al.Moduli spaces of curves and representation theory[J].Comm Math Phys,1998,117(1):1-36.
  • 3BILLIG Y.Representations of the twisted Heisenberg-Virasoro algebra at level zero[J].Canad Math Bull,2003,46(4):529-537.
  • 4KAC V G,RAINA K A.Bombay lectures on highest weight representations of infinite dimensional Lie algebras[M].Singapore,World Sci,1987.
  • 5BATRA P,GUO Xiangqian,LU Rencai,et al.Highest weight modules over pre-exp-polynomial Lie algebras[J].Algebra,2009,322(12):4163-4180.

同被引文献7

  • 1MATHIEU O.Classification of Harish-Chandra modules over the Virasoro algebra[J].Invent Math,1992(107):225-234.
  • 2ARBARELLO E.De CONCINI C.KAC V G.et al.Moduli spaces of curves and representation theory[J].Comm Math Phys,1988,117(1):1-36.
  • 3BILLIG Y.Representations of the twisted Heisenberg-Virasoro algebra at level zero[J].Canad Math Bull,2003,46(4):529-537.
  • 4GU0 X,LU R.ZHAO K.Classification of irreducible Harish-Chandra modules over the Loop-Virasoro algebra[J].Forum Math,to appear.
  • 5ZHANG W,DONG C.W-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes L(1/2,0)[J].Comm Math Phys,2009(285):991-1004.
  • 6LU R,ZHAO K.Classification of irreducible weight modules over the twisted Heisenberg Virasoro algebras[J].Comm Contemp Math,to appear.
  • 7KAC V G,RAIN A K A.Bombay lectures on highest weight representations of infinite dimensional Lie algebras[M].Singapore:World Sci,1987.

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