数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 252-262.doi: 10.1016/S0252-9602(14)60002-3

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CONSTRUCTING POINTED WEAK HOPF ALGEBRAS BY ORE-EXTENSION

曹海军|李方|张棉棉   

  1. School of Science, Shandong Jiaotong University, Jinan 250357, China;Department of Mathematics, Zhejiang University, Hangzhou 310028, China;School of Science, Zhejiang Normal University, Hangzhou 310036, China
  • 收稿日期:2010-12-07 出版日期:2014-03-20 发布日期:2014-03-20
  • 基金资助:

    The project is supported by the National Natural Science Foundation of China (11271318, 11171296, and J1210038), the Specialized Research Fund for the Doctoral Program of Higher Education of China (20110101110010), and the Zhejiang Provincial Natural Science Foundation of China (LZ13A010001).

CONSTRUCTING POINTED WEAK HOPF ALGEBRAS BY ORE-EXTENSION

 CAO Hai-Jun, LI Fang, ZHANG Mian-Mian   

  1. School of Science, Shandong Jiaotong University, Jinan 250357, China;Department of Mathematics, Zhejiang University, Hangzhou 310028, China;School of Science, Zhejiang Normal University, Hangzhou 310036, China
  • Received:2010-12-07 Online:2014-03-20 Published:2014-03-20
  • Supported by:

    The project is supported by the National Natural Science Foundation of China (11271318, 11171296, and J1210038), the Specialized Research Fund for the Doctoral Program of Higher Education of China (20110101110010), and the Zhejiang Provincial Natural Science Foundation of China (LZ13A010001).

摘要:

The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra At =
ni=0A αt from a Clifford monoid S = [Y ; Gαφα, β ]by Ore-extensions, and to obtain a co-Frobenius semilattice graded weak Hopf algebra H(S, n, cχ, a, b) through factoring At by a semilattice graded weak Hopf ideal.

关键词: Semilattice graded weak Hopf algebra, Clifford monoid, Ore-extension

Abstract:

The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra At =
ni=0A αt from a Clifford monoid S = [Y ; Gαφα, β ]by Ore-extensions, and to obtain a co-Frobenius semilattice graded weak Hopf algebra H(S, n, cχ, a, b) through factoring At by a semilattice graded weak Hopf ideal.

中图分类号: 

  • 16W30