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Hopf *-algebra structures on H(1, q)
Authors:Hassen Suleman Esmael MOHAMMED  Tongtong LI  Huixiang CHEN
Institution:1. School of Mathematical Science, Yangzhou University, Yangzhou 225002, China2. Jiangyan No. 2 High School, Jiangyan 225500, China
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  
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