Frontiers of Mathematics in China >

2015 , Vol. 10 >Issue 6: 1415 - 1432

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

RESEARCH ARTICLE

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

  • Hassen Suleman Esmael MOHAMMED 1 ,
  • Tongtong LI 2 ,
  • Huixiang CHEN , 1
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  • 1. School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
  • 2. Jiangyan No. 2 High School, Jiangyan 225500, China

Received date: 05 Sep 2014

Accepted date: 03 Dec 2014

Published date: 12 Oct 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： *-Structure; antilinear map; Hopf *-algebra

Cite this article

Hassen Suleman Esmael MOHAMMED , Tongtong LI , Huixiang CHEN . Hopf *-algebra structures on H(1, q)[J]. Frontiers of Mathematics in China, 2015 , 10(6) : 1415 -1432 . DOI: 10.1007/s11464-015-0454-2

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