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二次李超三系的分解及唯一性 被引量:6

The uniqueness of the decomposition of quadratic Lie supertriple systems
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摘要 研究了二次李超三系的分解及唯一性问题,讨论了二次李超三系的唯一分解,得到了二次李超三系分解为非退化不可约阶化理想的分解定理,从而使李超三系与二次李超三系理论得到了进一步的完善. This paper is about the uniquenes of the decomposition of quadratic Lie supertriple systems, the decompositions of quadratic Lie supertriple systems are discussed. Moreover, the decomposition theorems of a quadratic Lie supertriple systems into non-degenerate established. Thus making the Lie supertriple systems and quadratic Lie s been further perfected.
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2012年第2期9-13,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10871057) 吉林省教育厅"十一五"课题[吉教科合字(2010第331号)]
关键词 二次李超三系 分解 不可约 非退化 quadratic Lie supertriple systems decomposition irreducibility irreducible graded ideal are upertriple systems theory has nondegeneracy
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参考文献9

  • 1SUSUMU OKUBO. Triple products and Yang-Baxter equation and symplectic ternary systems[J]. J Math Phys, 1993,34:3273- 3292.
  • 2SUSUMU OKUBO. Parastatistics as Lie-supertriple systems[J]. J Math Phys, 1994,35 : 2785-2803.
  • 3SUSUMU OKUBO,NORIAKI KAMIYA. Quasi-classical Lie superalgebras and Lie supertriple systems[J]. Communications in Algebra, 2002,30 : 3825-3850.
  • 4史毅茜.李三系的某些结果[D].天津:南开大学数学学院,2003.
  • 5ZHANG ZHIXUE, LI HUAJUN, DONG LEI. Invariant bilinear forms on anti-Lie triple systems[J]. Chinese Annals of Mathematics, 2005,25 A: 429-436.
  • 6潘玉霞,张庆成.李超三系的分解唯一性[J].数学物理学报(A辑),2008,28(6):1058-1066. 被引量:10
  • 7贾志鹏,张庆成.李Color三系的幂零理想[J].吉林大学学报(理学版),2011,49(4):674-678. 被引量:9
  • 8马丽丽,张永正.M-阶化广义李超代数H(n)的导子超代数[J].东北师大学报(自然科学版),2010,42(4):6-11. 被引量:5
  • 9温启军,钱玲,陈良云.Jordan李代数的分解与Frattini理论[J].东北师大学报(自然科学版),2010,42(4):12-16. 被引量:5

二级参考文献26

  • 1Susumu Okubo. Triple products and Yang-Baxter equation and symplectic ternary systems. J Math Phys, 1993, 34:3273-3292.
  • 2Susumu Okubo. Parastatistics as Lie-supertriple systems. J Math Phys, 1994, 35:2785-2803.
  • 3Susumu Okubo, Noriaki Kamiya. Quasi-classical Lie superalgebras and Lie supertriple systems. Commun Algebra, 2002, 30:3825- 3850.
  • 4Shi Y Q. Some Results on Lie Triple Systems [Dissertation]. Tianjin: Nankai Uni, 2003.
  • 5Zhang Z X, Shi Y Q, Zhao L N. Invariant symmetric bilinear forms on Lie triple systems. Commun Algebra, 2002, 30:5563- 5573.
  • 6Kac V G. Lie superalgebras. Adv Math, 1979, 26:8-96.
  • 7Hodge T L. Lie triple systems, restricted Lie triple systems, and algebraic groups. J Algebra, 2000, 244: 535- 547.
  • 8Lister W G. A structure theory of Lie triple systems. Trans Amer Math Soc, 1952, 72:217-244.
  • 9SUSUMU OKUBO.Jordan-Lie super algebra and jordan-Lie triple system[J].Journal of Algebra,1997,198:388-411.
  • 10GRISHKOV A N.Speciality of Lie-Jordan algebra[J].Journal of Algebra,2001,237:621-636.

共引文献24

同被引文献21

  • 1SU Yucai & XU XiaopingDepartment of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China,Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Central simple Poisson algebras[J].Science China Mathematics,2004,47(2):245-263. 被引量:5
  • 2靳全勤,佟洁.Toroidal李代数上的Poisson代数结构[J].数学年刊(A辑),2007,28(1):57-70. 被引量:9
  • 3HARTWlG J T, LARSSON D, SLIVERSTROV S D. Deformation of Lie Algebras using a-derivations [J]. J Algebra, 2005,295 (2) :314-361.
  • 4LARSSON D,SILVESTROV S D. Quasi-hom-Lie algebras, central extensions and 2-cocycle-like dengities[J]. J Algebra, 2005, 288(2) :321-344.
  • 5YAU D. The Hom-Yang-Baxter equation, Hom-Lie algebras and quasi-triangular bialgebras[J]. J Phys A, 2009,42 (16): 165-202.
  • 6MAKHLOUF A,SILVESTROV S D. Hom-algebra structure[J]. J Gen Lie Theory Appl,2008,2(2):51-64.
  • 7YAU D. Enveloping algebras of Hom-Lie algebras[J]. J Gen Lie Theory Appl,2008,2(2): 95-108.
  • 8SHENG YUNHE. Representations of Horn-Lie Algebras[J]. Algebr Represent Theor, 2012(15) : 1081-1098.
  • 9ZHANG YongzhengDepartment of Mathematics, Northeast Normal University, Changchun, 130024, China.Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic[J].Chinese Science Bulletin,1997,42(9):720-724. 被引量:75
  • 10董艳芹,张永正,孟凡洪.一类广义W-型模李超代数的导子[J].东北师大学报(自然科学版),2009,41(2):1-6. 被引量:3

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