JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (12): 75-80.doi: 10.6040/j.issn.1671-9352.0.2021.807

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Irreducible representations of Ore extensions of enveloping algebra of two-dimensional non-abelian Lie algebra

LI Shi-yu, CHEN Chen, CHEN Hui-xiang*   

  1. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, Jiangsu, China
  • Published:2022-12-05

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Abstract: The irreducible representations of three classes of Hopf-Ore extensions of the enveloping algebra of 2-dimensional non-abelian Lie algebra over an algebraically closed field of characteristic zero are studied. The structures and isomorphism classifications of the finite dimensional simple modules over the three classes of Ore extensions are given respectively.

Key words: Hopf algebra, enveloping algebra, Ore extension, irreducible representation, simple module

CLC Number: 

  • O152.5
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