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.