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李超代数的Jacobson幂零性定理

JACOBSON'S NILPOTENCE THEOREM IN LIE SUPERALGEBRAS
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摘要 In this paper, Jacobson’s nilpotence theorem for Lie algebras is generalized to the case of Lie superalgebras; that is, if Lie superalgebra L spanned by a nil Lie super-subset of the general linear Lie superalgebra is finite-dimensional, then L is triangulable on the base space. In this paper, Jacobson's nilpotence theorem for Lie algebras is generalized to the case of Lie superalgebras; that is, if Lie superalgebra L spanned by a nil Lie super-subset of the general linear Lie superalgebra is finite-dimensional, then L is triangulable on the base space.
作者 倪岚 刘文德
机构地区 哈尔滨师范大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2004年第6期10-12,共3页 Natural Science Journal of Harbin Normal University
关键词 李超代数 幂零性 Jacobson定理 闭子集 有限维 李代数 证明 三角 严格 结论 Lie super-subset Z 2-graded subspace Strictly triangulable
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参考文献4

  • 1H. Strade and R. Farnsteiner, Modular Lie Algebras and Their Representations, Marcel Dekker Texbooks and Monographs: New York, 1988
  • 2Zhang, Y. Z. and Nan, J.Z. , Finite dimensional Lie superalgebras W(m,n,t) and S(m,n,t), Chinese Adv. Math., 1998,(27) :3,240 -246
  • 3Zhang, Y. Z. and Fu H. C. , Finte- dimensional Hamiltonian Lie superalgebras, Comm. algebra, 2002, (30) :6,2651 - 2673
  • 4Liu, W. D. and Zhang, Y. Z. , Infinite- dimensional modular odd hamiltonian Lie superalgebras, Comm. Algebra, 2004, ( 32 ):6,2341 - 2357

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