Hopf Superquivers |
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| Authors: | Hongchang DONG and Hualin HUANG |
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| Institution: | [1]School of Mathematics, Shandong University, Jinan 250100, China [2]Corresponding author. School of Mathematics, Shandong University, Jinan 250100, China |
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| Abstract: | 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. |
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| Keywords: | Hopf superalgebra Superquiver Path supercoalgebra |
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