Quiver Hopf algebras

By F. van Oystaeyen, Pu Zhang. 2004

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Abstract In this paper we study subHopfalgebras of graded Hopf algebra structures on a path coalgebra k Q c . 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 k Q c . We also prove a dual Gabriel theorem for pointed Hopf algebras.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/082211b86a74a4772d0f57c236efcc8704ee1ff8