期刊文献+

一类双色代数的构造

The structure of a kind of double color algebra
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摘要 引入了Novikov色代数和Gel'fand-Dorfman双色代数的概念,构造了三类Gel'fand-Dorfman双色代数. The concepts of Novikov color algebra and color Gel'fand-Dorfman double algebra are introduced.Meanwhile,three types of color Gel'fand-Dorfman double algebra are constructed.
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2016年第2期1-5,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(11471090) 吉林省自然科学基金资助项目(20130101068JC)
关键词 李代数 Novikov色代数 Gel'fand-Dorfman双色代数 Lie algebra Novikov color algebra color Gel'fand-Dorfman double algebra
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参考文献15

  • 1SCHEUNET M.Generalized Lie algebras[J].J Math Phys,1979,20:712-720.
  • 2SCHEUNET MjZHANG R.Cohomology of Lie superalgebras and theirgeneralizations[J].J Math Phys,1998,39:5024-5061.
  • 3WILSON M.Delta methods in enveloping algebras of Lie colour algebras[J].J Algebra,1995,175:661-696.
  • 4PRICE K.Primeness criteria for universal enveloping algebras of Lie color algebras[J].J Algebra,2001,235:589-607.
  • 5PASSMAN D.Simple Lie color algebras of Witt type[J].J Algebra,1998,208:698-721.
  • 6SU YtZHAO K,ZHU L.Simple Lie colour algebras of Weyl type[J].Israel J Math 2003,137:109-123.
  • 7FELDVOSS J.Representations of Lie colour algebras[J].Adv Math,2001,157:95-137.
  • 8ZHANG QtZHANG Y.Derivations and extensions of Lie color algebra[J].Acta Mathematica Scientia,2008,28B:933-948.
  • 9BAHTURIN Y,MIKHALEV A,PETROGRADSHY V,et al.Infinite dimensional Lie superalgebras[M].BostontDe Gruyter,1992:7-15.
  • 10宋华,王晨迪.李Color代数极大子代数的基本性质[J].东北师大学报(自然科学版),2012,44(4):26-30. 被引量:6

二级参考文献17

  • 1KAC V G. Lie superalgebras[J]. Adv Math,1977,26:8-96.
  • 2BAUTISTA C. A PBW theorem for generalized Lie color algebras[J]. J Math Phys,1998,39(7) :3828-3843.
  • 3BERGEN J,PASSMAN D S. Delta ideals of Lie color algebras[J]. J Algebra,1995,177 :740-754.
  • 4SU YUCAI, ZHAO KAIMING, ZHU LINSHENG. Simple Lie color algebras of Weyl type[J]. Israel J Math, 2003, 137:109-123.
  • 5CLAUS SCHEIDERER. Intersections of maximal subalgebras in Lie algebras[J]. J Algebra, 1987?105 : 268-270.
  • 6CHEN LIANGYUN,MENG DAOJI. On the intersection of maximal subalgebras in a Lie superalgebra [J]. AlgebraColloquium,2009,16(3) :503-516.
  • 7STRADE H,FARSTEINER R. Modular Lie algebras and their representations[M]. New York:Marcel Dekker Inc,1988:300.
  • 8BLOCH A.On a generalization of Lie algebra[J].Math IUSSR Doklady,1965,163(3):471-473.
  • 9LODAY J L.Une version non commutative des algebras de Lie:Ies algebra de Leibniz[J].Enseign Math Ann,1993,296(1):139-158.
  • 10GERSTENHABER M.On the deformation of rings and algebras[J].Ann Math,1964,79(1):59-103.

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