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IRREDUCIBLE REPRESENTATIONS FOR THE AFFINE-VIRASORO LIE ALGEBRA OF TYPE B_l 被引量:3

IRREDUCIBLE REPRESENTATIONS FOR THE AFFINE-VIRASORO LIE ALGEBRA OF TYPE B_l
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摘要 An explicit construction of irreducible representations for the affine-Virasoro Lie algebra of type Bl, through the use of vertex operators and certain oscillator representations of the Virasoro algebra, is given.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第3期359-368,共10页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (No.10271076, No.10171023)
关键词 Affine-Virasoro Lie algebra Vertex operator Irreducible module 代数学 物理学 建筑物顶点 仿射
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同被引文献11

  • 1Kac V G. Highest Weight Representations of Conformal Current Algebras,Symposium on Topological and Geometric Methods in Field Theory[M]. Espoo Finlan :World Scientific, 1986 : 3-16. 被引量:1
  • 2Kumki G. Foek space representations of affine Lie algebras and integral representations in the Wess-Zumino-Witten models [J]. Comm Math Phys, 199 I, 142 (3) : 511-542. 被引量:1
  • 3Eswara Rao S,Jiang Cuibo. Classification of irreducible integrable representations for the full toroidal Lie algebras[J]. J Pure Appl Algebra, 2005,200 ( 1/2 ) : 71-85. 被引量:1
  • 4Liu X F, Qian M. Bosonic Fock representations of the affine-Virasoro algebra[J]. Phys A, 1994,27 (5):131-136. 被引量:1
  • 5Wakimoto Minoru. Lectures on Infinite-Dimensional Lie Algebra[M]. Singapore:World Scientific Publishing Company ,2001:444. 被引量:1
  • 6Famsteiner Rolf. Derivations and central extensions of finitely generated graded Lie algebra[J]. Journal of Algebra, 1988,118:33-45. 被引量:1
  • 7Fuks D B. Cohomology of Infinite-Dimensional Lie Algebras[M]. New York :Springer, 1986:119-120. 被引量:1
  • 8Li Junbo, Su Yucai. The algebra and automorphism group of the twisted Sehrodinger-Virasoro algebra[EB/OL]. [2008-08-01]. Available :http :// arxiv.org/pdf/0801.2207v 1 .pdf. 被引量:1
  • 9Shen Ran,Jiang Cuibo. The derivation algebra and automorphism group of the twisted Heisenberg-Virasoro algebra[J]. Communications in Algebra, 2006,34 ( 7 ) : 2547-2558. 被引量:1
  • 10Li Junbo,Su Yucai. 2-Cocycles of deformative Schrodinger-Virasoro algebra[EB/OL]. [2008-08-01]. AvailabIe:http://arxiv.org/pdf/0801.2210. pdf. 被引量:1

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