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

作　　者：Hassen Suleman Esmael MOHAMMED Tongtong LI Huixiang CHEN 

机构地区：[1]School of Mathematical Science, Yangzhou University, Yangzhou 225002, China [2]Jiangyan No. 2 High School, Jiangyan 225500, China

出　　处：《Frontiers of Mathematics in China》2015年第6期1415-1432,共18页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 11171291）.

摘　　要：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.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.

关 键 词：＊-Structure antilinear map Hopf ＊-algebra 

分 类 号：O153.3[理学—数学] O159[理学—基础数学]