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...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.展开更多
基金Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 11171291）.
文摘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.
