Abstract

Let Γ be a quiver containing finite cyclic blocks and Π λ ( Γ) be the deformed preprojective algebra of Γ. It is proved that a suitable quotient u q of Π λ ( Γ) for an appropriate vector λ is a finite-dimensional quantum group. Some properties of u q are also obtained. An isomorphism as Hopf algebras is given between u q and a restricted quantum group U q( sl 2) .

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