Classification of affine prime regular Hopf algebras of GK-dimension one

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• 作者：Jinyong Wu^a ; ^b ; ^{wujy1753@126.com" class="auth_mail" title="E-mail the corresponding author} ; Gongxiang Liu^a ; ^{gxliu@nju.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Nanqing Ding^a ; ^{nqding@nju.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 16E65 ; 16T05 ; secondary ; 16P40 ; 16S34
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：25 June 2016
• 年：2016
• 卷：296
• 期：Complete
• 页码：1-54
• 全文大小：659 K

文摘

The classification of affine prime regular Hopf algebras of GK-dimension one is completed. As consequences, 1) we give a negative answer to Question 7.1 posed in [5] and 2) we show that there do exist prime regular Hopf algebras of GK-dimension one which are not pointed.