Grothendieck环G_(0)(D(H_(4)))的自同构群  

The automorphism group of Grothendieck ring G_(0)(D(H_(4)))

作　　者：胡承超 潘梦雅 陈惠香[1] HU Chengchao;PAN Mengya;CHEN Huixiang(School of Mathematical Science,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《扬州大学学报（自然科学版）》2021年第3期1-4,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(12071412).

摘　　要：研究Sweedler 4-维Hopf代数H_(4)Drinfeld偶D(H_(4))的Grothendieck环G_(0)(D(H_(4)))的自同构群,给出了G_(0)(D(H_(4)))所有环自同构的表达式,并证明了Grothendieck环G_(0)(D(H_(4)))的自同构群同构于Klein群K_(4).The automorphism group of Grothendick ring G_(0)(D(H_(4)))of Drinfeld double D(H_(4))of the Sweedler 4-dimensional Hopf algebra H_(4)is studied.The ring automorphisms of G_(0)(D(H_(4)))are all described.It is shown that the automorphism group of G_(0)(D(H_(4)))is isomorphic to Klein group K_(4).

关 键 词：HOPF代数 Drinfeld偶 Grothendieck环 自同构群 

分 类 号：O153.3[理学—数学]