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Hopf *-algebra structures on H(1, q)

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Abstract

We study the Hopf *-algebra structures on the Hopf algebra H(1, q) over ℂ. It is shown that H(1, q) is a Hopf *-algebra if and only if |q| = 1 or q is a real number. Then the Hopf *-algebra structures on H(1, q) are classified up to the equivalence of Hopf *-algebra structures.

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Authors and Affiliations

  1. School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China

    Hassen Suleman Esmael Mohammed & Huixiang Chen

  2. Jiangyan No. 2 High School, Jiangyan, 225500, China

    Tongtong Li

Authors
  1. Hassen Suleman Esmael Mohammed
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  2. Tongtong Li
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  3. Huixiang Chen
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Correspondence to Huixiang Chen.

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Mohammed, H.S.E., Li, T. & Chen, H. Hopf *-algebra structures on H(1, q). Front. Math. China 10, 1415–1432 (2015). https://doi.org/10.1007/s11464-015-0454-2

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  • DOI: https://doi.org/10.1007/s11464-015-0454-2

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