期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

扭曲重模代数的量子化 被引量：1

Quantization of Twisted Dimodule Algebras
下载PDF
导出
摘要 以Hopf代数为基础,通过双代数上的一些定义及性质,并结合σ-扭曲理论以及扭重模代数的概念,给出了扭重模代数的一些基本性质,并给出了几个具体例子.然后主要构造了扭重模代数的量子化,并在其上讨论了Smash积的一些性质.最后介绍了Long双代数,Long斜双代数和扭重模代数之间的关系,通过前面的铺垫,得出了他们等价的相关条件. Based on Hopf algebras,by means of the definition and properties of bialgebras and twisted dimodule algebras,some basic properties and examples of twisted dimodule algebras are given.Mostly,the guantization of these algebras is constructed,the Smash product of them is discussed in this paper.Finally,the relationships between Long bialgebras,Long skew bialgebras and twisted dimodule algebras are investigated,the equivalence conditions of them are obtained.
作者 黄勇 李强 李乃花
机构地区 南京农业大学理学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第2期194-198,共5页 Journal of Sichuan Normal University（Natural Science）
基金 教育部科学技术研究重点基金(108154)资助项目
关键词 Long双代数 Long斜双代数 扭曲重模代数 SMASH积 Long bialgebras Long skew bialgebras twisted dimodule algebras Smash product
分类号 O153.3 [理学—基础数学]
  • 相关文献

参考文献1

二级参考文献9

  • 1Militaru, G.: A class of non-symmetric solutions for the integrability condition of the Knizhnik-Zamolodchikov equation: a Hopf algebra approach. Comm. Algebra, 27(5), 2393-2407 (1999)
  • 2Caenepeel, S., Oystaeyen, F. V., Zhang, Y. H.: Quantum Yang-Baxter module algebras. K-Theory, 8,231-255 (1994)
  • 3Doi, Y.: Braided bialgebras and quadratic bialgebras. Comm. Algebra, 21(5), 1731-1749 (1993)
  • 4Kauffman, L., Radford, D.E.: Quantum algebras, quantum coalgbras, invariants of 1-1 tangles and knots.Comm. Algebra, 28(11), 5101-5156 (2000)
  • 5Montgomery, S.: Hopf algebras and their actions on rings, CBMS, Lect. Notes, 82, 1993
  • 6Zhu, J. G.: Cosemisimple coextensions and homological dimension of smash coproducts. Acta Mathematica Sinica, English Series, 21(3), 563-568 (2005)
  • 7Bahturin, Y., Fischman, D., Montgomery, S.: Bicharacters, twistings, and Scheunert's theorem for Hopf algebras. J. Algebra, 236, 246-276 (2001)
  • 8Zhang, L. Y., Tong, W. T.: Quantum Yang-Baxter H-module algebras and their braided products. Comm.Algebra, 31(5), 2471-2495 (2003)
  • 9Li, F.: On Quasi-bicrossed products of weak Hopf algebras. Acta Mathematica Sinica, English Series,20(2), 305-318 (2004)

共引文献11

同被引文献19

  • 1Li H, Mee R W. Better foldover fractions for resolution III 2k-p designs[ J]. Technometrics ,2002,44:278 - 283.
  • 2Li W, Lin D K J. Optimal foldover plans for two -level fractional factorial designs[ J]. Technometrics ,2003 ,45 :142 - 149.
  • 3Li W, Lin D K J, Ye K Q. Optimal foldover plans for non -regular orthogonal designs [ J 1- Technometrics,2003 ,45 :347 -351.
  • 4Jacroux M. Maximal rank minimum aberration foldover plans for 2m-k fractional factorial designs[J]. Metrika,2007,65:235-242.
  • 5Wang B, Robert G M, John F B. A note on the selection of optimal foldover plans for 16 - and 32 -mn fractional factorial de- signs[ J. J Statistical Planning and Inference,2010,140 : 1497 - 1500.
  • 6Robert G M, John F B. Optimal foldover plans for two - level fractional factorial split - plot designs [ J ]. J Quality Technology, 2008,40:227 - 240.
  • 7Jacroux M. Reverse foldovers for blocked 2-k fractional factorial designs[ J. Communications in Statistics :Theory and Methods, 2011,40:2799 - 2808.
  • 8Li F, Mike J. Optimal foldover plans for blocked 2-k fractional factorial designs[J]. J Statistical Planning and Inference,2007, 137:2439 - 2452.
  • 9Ai M Y, Xu X, Wu C F. Optimal blocking and foldover plans for regular two -level designs [ J ]. Statistiea Sinica,2010 ,20 :183 -207.
  • 10Fang K T, Lin D K J, Qin H. A note on optimal foldover design [ J ]. Statistics Probability Letters ,2003,62:285 -250.

引证文献1

四川师范大学学报（自然科学版）
2012年 第2期

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