假设H2是特征为0的代数闭域k上的Sweedler四维Hopf代数,并用r(H2)表示H2的Green环,证明了r(H2)的自同构群Aut(r(H2))同构于Klein四元群.
Let H2 be the Sweedler’s 4-dimensional Hopf algebra over a fixed algebraically closed field k of characteristic 0,where r(H2)denotes the Green ring of H2.In this paper,it is shown that the automorphism group of the Green ring r(H2)is isomorphic to the Klein four group K4.