Block型代数的量子化

1.Department of Mathematics, Changshu Institute of Technology, Jiangsu Changshu 2155008;
2.Department of Mathematics, University of Science and Technology of China, Hefei 230026

Received:2007-12-08 Revised:2008-08-06 Online:2009-12-25 Published:2009-12-25

摘要：

文献[1]研究了一类Block型代数的李双代数结构, 该文对此代数进行了量子化.

关键词: 量子化, Block型代数, 量子群, 李双代数

Abstract:

The authors quantize a family of Block type algebras, whose Lie bialgebra structures were investigated in a recent paper [1] by the authors.

Key words: Quantization, Block type algebra, Quantum group, Lie bialgebra

中图分类号:

李军波, 苏育才. Block型代数的量子化[J]. 数学物理学报, 2009, 29(6): 1699-1703.

LI Jun-Bo, SU Yu-Cai. Quantization of Block Type Algebras[J]. Acta mathematica scientia,Series A, 2009, 29(6): 1699-1703.

[1] Li J, Su Y, Xin B. Lie bialgebras of Block type Lie algebras. Chin Math Annl, 2008, 29B: 487--500

[2] Grunspan C. Quantizations of Witt algebra and of simple Lie algebras in char $p$ . J Alg, 2004, 280: 145--161

[3] Hu N, Wang X. Quantizations of generalized-Witt algebra and of Jacobson -Witt algebra in the modular case. J Algebra, 2007, 312(2): 902--929

[4] Song G, Su Y, Wu Y. Quantization of generalized Virasoro-like algebras. L Alg Appl, 2008, 428:2888--2899

[5] Ng H, Taft J. Classification of the Lie bialgebra structures on the Witt and Virasoro algebras. J Pure Appl alg, 2000, 151: 67--88

[6] Su Y. Quasifinite representations of a family of Lie algebras of Block type. J Pure Alg, 2004, 192: 293--305

[7] Xu X. Generalizations of the Block algebras. Manuscripta Math, 1999, 100: 489--518

[8] Drinfel'd V. Quantum Groups. Providence: Amer Math Soc, 1987: 789--820

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