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低维幂零李代数的双极化
  • 期刊名称:吉林师范大学学报, 2014年第一期
  • 时间:2014.2.2
  • 页码:47-50
  • 分类:O413.1[理学—理论物理;理学—物理] O411.1[理学—理论物理;理学—物理]
  • 作者机构:School of Mathematics, Liaoning Normal University, Dalian, Liaoning, 116029
  • 相关基金:Foundation item: The NSF (11071106 and 11471151) of China.
  • 相关项目:纽结补和纽结不变量的研究
中文摘要:

L-octo-algebra with 8 operations as the Lie algebraic analogue of octoalgebra such that the sum of 8 operations is a Lie algebra is discussed.Any octoalgebra is an L-octo-algebra.The relationships among L-octo-algebras,L-quadrialgebras,L-dendriform algebras,pre-Lie algebras and Lie algebras are given.The close relationships between L-octo-algebras and some interesting structures like RotaBaxter operators,classical Yang-Baxter equations and some bilinear forms satisfying certain conditions are given also.

英文摘要:

L-octo-algebra with 8 operations as the Lie algebraic analogue of octo- algebra such that the sum of 8 operations is a Lie algebra is discussed. Any octo- algebra is an L-octo-algebra. The relationships among L-octo-algebras, L-quadri- algebras, L-dendriform algebras, pre-Lie algebras and Lie algebras are given. The close relationships between L-octo-algebras and some interesting structures like Rota- Baxter operators, classical Yang-Baxter equations and some bilinear forms satisfying certain conditions are given also.

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