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Quiver Hopf algebras
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| Abstract |
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| In this paper we study subHopfalgebras of graded Hopf algebra structures on a path coalgebra kQ(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 kQ(c). We also prove a dual Gabriel theorem for pointed Hopf algebras. (C) 2004 Elsevier Inc. All rights reserved. | | |
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English
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Journal of algebra. - New York, N.Y. | |
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New York, N.Y. : 2004
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0021-8693
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280:2(2004), p. 577-589
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000224037300010
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