The Green rings of the 2-rank Taft algebra and its two relatives twisted

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• 作者：Yunnan Li ^{yunnan814@163.com" class="auth_mail} ; Naihong Hu ; ¹ ; ^{nhhu@math.ecnu.edu.cn" class="auth_mail}
• 关键词：primary ; 16G10 ; 16G60 ; 16T99 ; 19A22 ; secondary ; 16N20 ; 16S35 ; 20G42 ; 17B37 ; 81R50
• 刊名：Journal of Algebra
• 出版年：15 July 2014
• 年：2014
• 卷：410
• 期：Complete
• 页码：1-35
• 全文大小：473 K

文摘

In the paper, the representation rings (or the Green rings) for a family of Hopf algebras of tame type, the 2-rank Taft algebra (at q=−1$q=-1$) and its two relatives twisted by 2-cocycles are explicitly described via a representation theoretic analysis. It turns out that the Green rings can serve to detect effectively the twist-equivalent Hopf algebras here.