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Vietnam Journal of Mathematics 34:2(2006) 189-207 The Quantum Double of a Dual Andruskiewitsch-Schneider Algebra Is a Tame Algebra  Meihua Shi Abstract.  In this paper, we study the representation theory of the quantum double $\mathcal{D}(\Gamma_{n,d})$. We give the structure of projective modules of $\mathcal {D}(\Gamma_{n,d})$ at first. By this, we give the Ext-quiver (with relations) of $\mathcal {D}(\Gamma_{n,d})$ and show that $\mathcal {D}(\Gamma_{n,d})$ is a tame algebra.   2000 Mathematics Subject Classification: 16W30. Keywords: Representation Theory, Quantum double Tame Algebra.

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