Czechoslovak Mathematical Journal, first online, pp. 1-13


The structures of Hopf $\ast$-algebra on Radford algebras

Hassan Suleman Esmael Mohammed, Hui-Xiang Chen

Received July 6, 2017.   Published online July 26, 2018.

Abstract:  We investigate the structures of Hopf $\ast$-algebra on the Radford algebras over $\mathbb{C}$. All the $*$-structures on $H$ are explicitly given. Moreover, these Hopf $*$-algebra structures are classified up to equivalence.
Keywords:  antilinear map; $\ast$-structure; Hopf $\ast$-algebra
Classification MSC:  16G99, 16T05
DOI:  10.21136/CMJ.2018.0319-17

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Affiliations:   Hassan Suleman Esmael Mohammed, Hui-Xiang Chen, School of Mathematical Science, Yangzhou University, Yangzhou 225002, China, e-mail: esmailhassan313@yahoo.com, hxchen@yzu.edu.cn


 
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