Quiver Hopf algebras |
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| Authors: | Fred van Oystaeyen Pu Zhang |
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| Institution: | aDepartment Wiskunde en Informatica, Universiteit Antwerpen, B-2610 Antwerpen (Wilrijk), Belgium;bDepartment of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, Shanghai, PR China |
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| Abstract: | In this paper we study subHopfalgebras of graded Hopf algebra structures on a path coalgebra kQc. We prove that a Hopf structure on some subHopfquivers can be lifted to a Hopf structure on the whole Hopf quiver. If Q is a Schurian Hopf quiver, then we classified all simple-pointed subHopfalgebras of a graded Hopf structure on kQc. We also prove a dual Gabriel theorem for pointed Hopf algebras. |
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