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具有规范变换的拟Hopf代数的性质

Some Properties of Quasi-Hopf Algebras with Gauge Transformation
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摘要 令H是拟Hopf代数,A是H-模代数,F∈HH是规范变换.本文给出了F是拟二上循环的概念,同时给出A是右A#H-模的一个等价条件. Let H be a quasi-Hopf algebra,A be an H-module algebra and F∈HH be a gauge transformation.In this paper,a definition of quasi-two-cocycle,neceessary and sufficient conditions for A to be a right A#H-module are given.
作者 杨存絜
出处 《首都师范大学学报(自然科学版)》 2010年第3期11-15,共5页 Journal of Capital Normal University:Natural Science Edition
关键词 拟Hopf代数 规范变换 拟二上循环 quasi-Hopf algebra gauge transformation quasi-two-cocycle
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参考文献14

  • 1Bulacu D, Panaite F, Van Oystaeyen F. Quasi-Hopf algebra actions and smash products [ J]. Comm. Algebra, 2000, 28 (2) :631 -651.
  • 2Bulacu D, Nauwelaerts E. Relative Hopf modules for (dual) quasi-Hopf algebras [ J]. J. of Algebra, 2000, 229:632 - 659.
  • 3Kassel C. Quantum Groups [M]. Springer-Verlag, New York/ Berlin, 1995.
  • 4Bulacu D, Caenepeel S. The quantum double for quasitriangular quasi-Hopf algebra [ J]. Comm. Algebra, 2003, 31 (3) :1403 - 1425.
  • 5Giaguinto A, Zhang J J. Bialgebra Actions, Twists, and Universal Deformation Formulas. J. Pure and App. 1998, 128 (2), 133-151.
  • 6Montgomery S. Hopf Algebra and Their Actions on Rings [ D]. CBMS Regional Conference Series in Math. Number 82, AMS, Providence, 1993.
  • 7Yang S L, Ghen J N. Hopf actions on factor rings and induced Hopf actions [J3. Comm. Algebra, 1997, 25:1103 - 1110.
  • 8Panaite F. A Maschke-type Theorem for Quasi-Hopf Algebras in " Rings, Hopf algebeas and Brauer groups" [ M ]. Dekker, New York, 1998, pages: 201-207.
  • 9Bulacu D, Caenepeel S. Intergrals for (dual) quasi-Hopf algebras. Applications, QA/0110063 v2 18 Oct 2002.
  • 10Drinfel' d V G. Quasi-Hopf algebras [ J]. Algebra i Analiz, 1989, 1 (6) : 114 - 148. English transl. :Leningrad Math. J. , 1990, 1:1419 - 1457. MR 91b:17016.

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