In this paper,a super version of the Hopf quiver theory is developed.The notion of Hopf superquivers is introduced.It is shown that only the path supercoalgebras of Hopf superquivers admit graded Hopf superalgebra str...In this paper,a super version of the Hopf quiver theory is developed.The notion of Hopf superquivers is introduced.It is shown that only the path supercoalgebras of Hopf superquivers admit graded Hopf superalgebra structures.A complete classification of such graded Hopf superalgebras is given.A superquiver setting for general pointed Hopf superalgebras is also built up.In particular,a super version of the Gabriel type theorem and the Cartier-Gabriel decomposition theorem is given.展开更多
基金Project supported by the National Natural Science Foundation of China (No. 10601052)the Shandong Provincial Natural Science Foundation of China (Nos. YZ2008A05, 2009ZRA01128)
文摘In this paper,a super version of the Hopf quiver theory is developed.The notion of Hopf superquivers is introduced.It is shown that only the path supercoalgebras of Hopf superquivers admit graded Hopf superalgebra structures.A complete classification of such graded Hopf superalgebras is given.A superquiver setting for general pointed Hopf superalgebras is also built up.In particular,a super version of the Gabriel type theorem and the Cartier-Gabriel decomposition theorem is given.
