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量子环面上一类结合代数的表示 被引量:4

REPRESENTATIONS OF A CLASS OF ASSOCIATIVE ALGEBRAS RELATED TO THE QUANTUM TORUS
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摘要 本文研究了与量子环面CQ[x±1,y±1](见[6])有关的一类结合代数的表示.该结合代数的表示与广义仿射李代数(见[1])的表示理论密切相关.本文推广了[5]的部分结果. This paper studies the representations of a class of associative algebras related to the quantum torus CQ[x±1,y±1] which is introduced in [6] to study the extended affine Lie algebras [1]. The author generalizes some results in [5].
作者 叶从峰
机构地区 厦门大学数学系
出处 《数学年刊(A辑)》 CSCD 北大核心 2004年第2期179-188,共10页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10071061)资助的项目.
关键词 结合代数 顶点代数 量子环面 Associative algebra, Vertex algebra, Quantum torus
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参考文献13

  • 1Allison,B.,Azam,S.,Berman,S.,Gao,Y.& Pianzola,A.,Extended affine Lie algebrasand their root systems [J],Mem.Amer.Math.Soc.,603(1997),1-122.
  • 2Borcherds,R.,Vertex algebra,Kac-Moody algebras,and the Monster [J],Proc.Natl.Acad.Sci.USA,83(1986),3068-3071.
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同被引文献20

  • 1林尚垣,叶从峰.一类结合代数的表示[J].厦门大学学报(自然科学版),2005,44(1):1-4. 被引量:3
  • 2付艳梅,张建新.结合超代数上同调的广义(T-)导子的提升[J].南京工程学院学报(自然科学版),2006,4(3):5-10. 被引量:1
  • 3Berman S,Dong C Y,Tan S B. Representations of a class of lattice type vertex algebras[J]. J. Pure and Applied Algebra, 2002,176 : 27-47.
  • 4Rao S Eswara, Moody R V. Vertex representations for nToroidal Lie algebras and a generalization of the Virasoro algebras[J]. Comm. Math. Phys. , 1994,159 : 239 - 264.
  • 5Moody R V,Rao S E,Yokonuma T. Toroidal Lie algebras and vertex representations [J]. Geometriae Dedicata,1990,35 : 283- 307.
  • 6Borcherds R. Vertex algebra, Kae-Moody algebras, and the monster[J]. Proc. Natl. Acad. Sci. USA, 1986, 83:3 068-3 071.
  • 7Berman S, Dong C Y, Tan S B. Representations of a class of lattice type vertex algebras[J]. J. Pure and Applied Algebra,2002,176:27-47.
  • 8Rao S Eswarao Moody R V. Vertex representations for nToroidal Lie algebras and a generalization of the Virasoroalgebras[J]. Comm. Math. Phys. , 1994,159 : 239- 264.
  • 9Moody R V,Rao S E, Yokonuma T. Toroidal Lie algebras and vertex representations [J]. Geometriae Dedicata,1990,35:283-307.
  • 10Borcherds R. Vertex algebra, Kac-Moody algebras, and the monster[J]. Proc. Natl. Acad. Sci. USA, 1986, 83:3 068-3 071.?A?A

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