Some Hopf Algebras related to sl2
Abstract
We define a series of Artin-Schelter Gorenstein Hopf algebras Hβ with injective dimensions 3. Radford's Hopf algebra and Gelaki's Hopf algebra are homomorphic images of Hβ. We determine its Grothendieck ring G0(Hβ). Meanwhile we can obtain Grothendieck rings of Gelaki's Hopf algebras and Radford's Hopf algebras U(N,,ω) in R, and non-isomorphic Hopf algebras with isomorphic Grothendieck rings.
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