期刊文献+

Novikov超代数与经典R-Matrices(英文) 被引量:1

Novikov Superalgebras and Classical R-Matrices
下载PDF
导出
摘要 本文主要讨论在一些特殊的李超代数上Novikov结构的存在性.同时,我们利用经典r-matrices在一些李超代数模上构造Novikov超代数结构. In this paper we discuss the existence of Novikov superalgebra structure on certain type of Lie superalgebras. We also use classical r-matrices to construct Novikov modules. superalgebra structure on certain Lie superalgebra
出处 《吉林师范大学学报(自然科学版)》 2013年第2期74-77,83,共5页 Journal of Jilin Normal University:Natural Science Edition
基金 The National natural science foundation of the mathematical tian yuan funds NSFC(11126133,11071106)
关键词 Novikov超代数 经典r—matrices Novikov结构 Novikov superalgebra, classical r-matrices, Novikov structure.
  • 相关文献

参考文献11

  • 1Balinskii A A and Novikov S P, Poisson Brackets of Hydrodynamic Type, Frobenius Algebras and Lie algebras [ J ]. Soviet Math. Dokl, 1985,32: 228 - 231.
  • 2Marc GILG, Low-dimensional filiform Lie Superalgebras [ J ]. Resit. Math. Comp ,2001, (2) :463 - 478.
  • 3Dietrich Burde, Classical R-Matrices and Novikov Algebras [ J ]. Geom. Dedic ,2006, Springer.
  • 4Gelfand I M and Dorfman I Y, Hamiltonian Operators and Algebraic Structures Related to Them [ J]. Funktsional. Anal. i Prilozen, 1979,13:13 - 30.
  • 5Gelfand I M and Doffman I Y, Schouten Brackets and Hamiltonian Operators [ J] , Funktsional. Anal. i Prilozen, 1980,14:71 - 74.
  • 6Gelfand I M and Dorfman I Y, Hamihonian Operators and infinite Dimensional Lie Algebras [ J ]. Funktsional. Anal. i Prilozen, 1981,14:23 - 40.
  • 7Kac V G, Nertex Algebras for Begginers [ M ], University Lectures Series, 10, American Math. Soe. Porvidenee, 1996.
  • 8Kac V G, Lie Superalgebras [ J ] , Advan. Math. , 1977,26:8 - 96.
  • 9J. Bemstein, D. Leites and V. Shander, Supersymmetries Algebra and Calculus [ M ] , Springer,2007.
  • 10Xu X P, Variational Calculus of Supervariables and Related Algebraic Structures [ J ] ,J. Algebra,2000,223:396 - 437.

同被引文献9

  • 1谭久河,段学新,李春华.算子李代数的性质[J].吉林师范大学学报(自然科学版),2006,27(3):75-76. 被引量:2
  • 2J. Humphreys, Introduction to Lie Algebras and Representation Theory [ M ] , New York : Springer-Verlag, 1972.
  • 3Shaoqiang Deng, A class of dipolarizations in parabolic subalgebras of semisimple Lie algebras[ J]. Chinese Journal of Con-temporary Mathematics, 2006,27 ( 1 ) :25 - 31.
  • 4Zixin Hou. Shaoqiang Deng ,Dipolarizations in semisimple Lie algebras and homogeneous parak ahler manifolds, Journal of Lie Theory[ J ]. 1999, (9) :215 -232.
  • 5S. Kaneyuki. Homogeneous symplectic manifolds and dipoloarizations in Lie algebras [ J ]. Tokyo J. Math. 1992, ( 15 ) : 313 - 325.
  • 6范素军,周檬,崔丽娟.幂零李代数的导子代数的结构[J].河北师范大学学报(自然科学版),2009,33(5):567-569. 被引量:6
  • 7王晓阳.二步幂零李代数的双极化[J].南开大学学报(自然科学版),2011,44(2):90-96. 被引量:2
  • 8邓少强,赵广生.半单李代数双极化的对称性(英文)[J].南开大学学报(自然科学版),2000,33(2):61-64. 被引量:1
  • 9张敏.分块矩阵的应用[J].吉林师范大学学报(自然科学版),2003,24(1):118-120. 被引量:6

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部