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Quantizations of the W-Algebra W（2, 2） 被引量：2

Quantizations of the W-Algebra W（2, 2）
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摘要 We quantize the W-algebra W（2,2）, whose Verma modules, Harish-Chandra modules, irreducible weight modules and Lie bialgebra structures have been investigated and determined in a series of papers recently. We quantize the W-algebra W（2,2）, whose Verma modules, Harish-Chandra modules, irreducible weight modules and Lie bialgebra structures have been investigated and determined in a series of papers recently.
作者 Jun Bo LI
机构地区 School of Mathematics and Statistics Department of Mathematics Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第4期647-656,共10页 数学学报（英文版）
基金 Supported by NSF＇of China （Grant Nos. 10825101, 10926166）, Special Grade of the Financial Support from China Postdoctoral Science Foundation （Grant No. 201003326） and the Natural Science Research Project for Higher Institutions of Jiangsu Province （Grant No. 09KJB110001）
关键词 QUANTIZATION the W-algebra W（2 2） quantum groups Lie bialgebras Quantization, the W-algebra W（2, 2）, quantum groups, Lie bialgebras
分类号 O159 [理学—基础数学] O413.1 [理学—理论物理]
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参考文献1

  • 1SONG Guang’ai & SU Yucai College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China,Department of Mathematics, University of Science and Technology of China, Hefei 230026, China,Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.Lie bialgebras of generalized Witt type[J].Science China Mathematics,2006,49(4):533-544. 被引量：22

二级参考文献11

  • 1[1]Michaelis,W.,A class of infinite-dimensional Lie bialgebras containing the Virasoro algebras,Adv.Math.,1994,107:365-392.
  • 2[2]Ng,S.H.,Taft,E.J.,Classification of the Lie bialgebra structures on the Witt and Virasoro algebras,J.Pure Appl.Algebra,2000,151:67-88.
  • 3[3]Nichols,W.D.,The structure of the dual Lie coalgebra of the Witt algebra,J.Pure Appl.Algebra,1990,68:395-364.
  • 4[4]Taft,E.J.,Witt and Virasoro algebras as Lie bialgebras,J.Pure Appl.Algebra,1993,87:301-312.
  • 5[5]Dokovic,D.,Zhao,K.M.,Derivations,isomorphisms and second cohomology of generalized Witt algebras,Trans.Amer.Math.Soc.,1998,350:643-664.
  • 6[6]Passman,D.,New simple infinite dimensional Lie algebras,J.Algebra,1998,206:682-692.
  • 7[7]Su,Y.C.,Xu,X.P.,Zhang,H.C.,Derivation-simple algebras and the structures of Lie algebras of Witt type,J.Algebra,2000,233:642-662.
  • 8[8]Su,Y.C.,Zhao,K.M.,The second cohomology group of generalized of Witt type Lie algebras and certain representations,Comm.Algebra,2002,30(7):3285-3309.
  • 9[9]Xu,X.P.,New generalized simple Lie algebras of Cartan type over a field with characteristic O,J.Algebra,2000,224:23-58.
  • 10[10]Drinfeld,V.G.,Quantum groups,in Proceeding of the International Congress of Mathematicians,Vol.1,2,Berkeley,Calif.1986,Providence:Amer.Math.Soc.,1987.798-820.

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Acta Mathematica Sinica,English Series
2011年 第4期

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