Hopf *-algebra structures on <i>H</i>(1, <i>q</i>)

doi:10.1007/s11464-015-0454-2

Front. Math. China

2015, Vol. 10

Issue (6) : 1415-1432 https://doi.org/10.1007/s11464-015-0454-2

RESEARCH ARTICLE

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

Hassen Suleman Esmael MOHAMMED¹,Tongtong LI²,Huixiang CHEN^1,^*(

)

1. School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
2. Jiangyan No. 2 High School, Jiangyan 225500, China

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Abstract

We study the Hopf *-algebra structures on the Hopf algebra H(1, q) over ?. 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.

Keywords *-Structure antilinear map Hopf *-algebra

Corresponding Author(s): Huixiang CHEN

Issue Date: 12 October 2015

Cite this article:

Hassen Suleman Esmael MOHAMMED,Tongtong LI,Huixiang CHEN. Hopf *-algebra structures on H(1, q)[J]. Front. Math. China, 2015, 10(6): 1415-1432.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-015-0454-2
https://academic.hep.com.cn/fmc/EN/Y2015/V10/I6/1415

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