Automorphism group of Green ring of Sweedler Hopf algebra

作者：Jia, Tingting; Zhao, Ruju; Li, Libin^*

来源：Frontiers of Mathematics in China, 2016, 11(4): 921-932.

DOI：10.1007/s11464-016-0565-4

• Automorphism group
• Green ring
• Green algebra
• Sweedler Hopf algebra

Let H-2 be Sweedler's 4-dimensional Hopf algebra and r(H-2) be the corresponding Green ring of H-2. In this paper, we investigate the automorphism groups of Green ring r(H-2) and Green algebra F(H-2) = r(H-2)circle times F-Z, where F is a field, whose characteristics is not equal to 2. We prove that the automorphism group of r(H-2) is isomorphic to K-4, where K-4 is the Klein group, and the automorphism group of F(H-2) is the semidirect product of Z(2) and G, where G = F \ {1/2} with multiplication given by a.b = 1 - a - b + 2ab.

• 出版日期2016-8
• 单位扬州大学