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Weight modules over some Block algebras

Weight modules over some Block algebras
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摘要 In this paper, the Harish-Chandra modules and Verma modules over Block algebra $ \mathfrak{L} $ [G] are investigated. More precisely, the irreducibility of the Verma modules over $ \mathfrak{L} $ [G] is completely determined, and the Harish-Chandra modules over $ \mathfrak{L} $ [?] are classified. In this paper, the Harish-Chandra modules and Verma modules over Block algebra L[G] are investigated. More precisely, the irreducibility of the Verma modules over L[G] is completely determined, and the Harish-Chandra modules over L[Z] are classified.
出处 《Science China Mathematics》 SCIE 2009年第3期517-525,共9页 中国科学:数学(英文版)
基金 supported by the Research Foundation for Postdoctor Programme the National NaturalScience Foundation of China (Grant No. 10601057)
关键词 Block algebra weight module highest weight module Harish-Chandra module 17B10 17B65 17B68 Block algebra weight module highest weight module Harish-Chandra module
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参考文献1

  • 1Yue-zhu WU & Yu-cai SU Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China,Department of Mathematics, Qufu Normal University, Qufu 273165, China,Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.Highest weight representations of a Lie algebra of Block type[J].Science China Mathematics,2007,50(4):549-560. 被引量:4

二级参考文献4

  • 1Linsheng Zhu,Daoji Meng.Structure of Degenerate Block Algebras[J].Algebra Colloquium.2003(1)
  • 2Victor G. Kac,José I. Liberati.Unitary Quasi-finite Representations of W∞[J].Letters in Mathematical Physics.2000(1)
  • 3Xiaoping Xu.Generalizations of the Block algebras[J].manuscripta mathematica.1999(4)
  • 4Victor Kac,Andrey Radul.Quasifinite highest weight modules over the Lie algebra of differential operators on the circle[J].Communications in Mathematical Physics.1993(3)

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