Articles

CONSTRUCTING POINTED WEAK HOPF ALGEBRAS BY ORE-EXTENSION

  • CAO Hai-Jun ,
  • LI Fang ,
  • ZHANG Mian-Mian
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  • 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 date: 2010-12-07

  Online 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).

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.

Cite this article

CAO Hai-Jun , LI Fang , ZHANG Mian-Mian . CONSTRUCTING POINTED WEAK HOPF ALGEBRAS BY ORE-EXTENSION[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 252 -262 . DOI: 10.1016/S0252-9602(14)60002-3

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Outlines

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