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Block型代数的量子化

Quantization of Block Type Algebras
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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. The authors quantize a family of Block type algebras, whose Lie bialgebra structures were investigated in a recent paper [1] by the authors.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2009年第6期1699-1703,共5页 Acta Mathematica Scientia
基金 国家自然科学基金(10671027 10825101) 国家博士后基金(20080440720) 中国科学技术大学"百人计划"资助
关键词 量子化 Block型代数 量子群 李双代数. Quantization Block type algebra Quantum group Lie bialgebra.
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参考文献8

  • 1Li J, Su Y, Xin B. Lie bialgebras of Block type Lie algebras. Chin Math Annl, 2008, 29B: 487-500.
  • 2Grunspan C. Quantizations of Witt algebra and of simple Lie algebras in char p. J Alg, 2004, 280:145-161.
  • 3Hu N, Wang X. Quantizations of generalized-Witt algebra and of Jacobson -Witt algebra in the modular case. J Algebra, 2007, 312(2): 902-929.
  • 4Song G, Su Y, Wu Y. Quantization of generalized Virasoro-like algebras. L Alg Appl, 2008, 428:2888-2899.
  • 5Ng H, Taft J. Classification of the Lie bialgebra structures on the Witt and Virasoro algebras. J Pure Appl alg, 2000, 151:67-88.
  • 6Su Y. Quasifinite representations of a family of Lie algebras of Block type. J Pure Alg, 2004, 192:293-305.
  • 7Xu X. Generalizations of the Block algebras. Manuscripta Math, 1999, 100:489-518.
  • 8Drinfel'd V. Quantum Groups. Providence: Amer Math Soc, 1987:789-820.

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