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q类似的雅可比恒等式与量子Kac-Moody代数 被引量:2

q Analogous Jacobi Identity and The Quantum Kac Moody Algebra
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摘要 本文通过对李代数g=SL(2,C)的基底(basis)的q参数化,构造了一种q类似的雅可比恒等式。 A q analogous Jacobi identity is constructed by means of q parametrization of the bases of the Lie algebra g=SL(2,C). This is then employed to obtain the quantum A (1) 1 Kac Moody algebra.
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 1997年第2期71-77,共7页 Journal of Sichuan Normal University(Natural Science)
关键词 量子群 李代数 KAC-MOODY代数 雅可比恒等式 Quantum groups, Lie algebra g=SL(2,C),q deformation, Jacobi identity, quantum  A (1) 1 Kac Moody algebra
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  • 1朱琳,苏育才.非阶化Virasoro代数和Virasoro超代数及其中间序列模[J].Journal of Mathematical Research and Exposition,2006,26(2):325-333. 被引量:3
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  • 7SU Yu-cai, ZHAO Kai-ming. Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series [ J ]. J. Algebra,2002, 252 : 1-19.
  • 8SU Yu-cai,ZHAO Kai-ming. Second cohomology group of generalized Witt type Lie algebras and certain representations[ J]. J. Comm. Algebra,2002 ,30:3285-3309.
  • 9GAO Shou-lan, JIANG Cui-po. Representation for the non-graded Virasoro-like algebra [ OL ]. http://arxiv. org/abs/0711. 2371.
  • 10许弟余,焦善庆,龚自正,许友文.夸克、轻子的广义旋量及形变振荡量子[J].西南大学学报(自然科学版),2007,29(9):42-46. 被引量:9

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