JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (12): 121-126.doi: 10.6040/j.issn.1671-9352.0.2014.518

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Cleft extensions of weak Hopf group coalgebras

WANG Zheng-ping1, YANG Ren-ming2   

  1. 1. Chuzhou Vocational and Technical College, Chuzhou 239000, Anhui, China;
    2. College of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, Shandong, China
  • Received:2014-11-23 Revised:2015-11-18 Online:2015-12-20 Published:2015-12-23

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Abstract: Weak group crossed products are generalization of the weak group smash products, in which the action of the weak Hopf group coalgebras is twisted by a cocycle. The notion of cleft extensions of weak Hopf group coalgebras is introduced, and the relation between crossed products and cleft extensions of weak Hopf group coalgebras is established.

Key words: weak Hopf group coalgebras, cleft extensions, crossed products

CLC Number: 

  • O153.3
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[1] YOU Mi-man, ZHAO Xiao-fan. Diagonal crossed products over monoidal Hom-Hopf algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(12): 76-80.
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