JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (2): 73-78.doi: 10.6040/j.issn.1671-9352.0.2019.453

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Lazy 2-cocycles on 9-dimensional Taft algebra

CHEN Chen1, GAO Ying-ying2, CHEN Hui-xiang1*   

  1. 1. College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, Jiangsu, China;
    2. Suqian Suzhou Foreign Language School, Suqian 233800, Jiangsu, China
  • Published:2020-02-14

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Abstract: The normal lazy 2-cocycles on 9-dimensional Taft algebra are investigated. The structures of all such 2-cocycles are given. It is shown that each normal lazy 2-cocycle on 9-dimensional Taft algebra is exactly determined by one scale, and that the group of all normal lazy 2-cocycles on 9-dimensional Taft algebra with respect to convolution product is isomorphic to the additive group of the ground field.

Key words: Hopf algebra, Taft algebra, 2-cocycle, normal 2-cocycle, lazy 2-cocycle

CLC Number: 

  • O152.1
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