Preface
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摘要
The aim of this paper is to construct comodules of 20d6000a6f684913a108cc0f56347" title="Click to view the MathML source">Uq(sl2) and modules of SLq(2) via quiver, where q is not a root of unity.

By embedding Uq(sl2) into the path coalgebra Click to view the MathML source, where Click to view the MathML source is the Gabriel quiver of Uq(sl2) as a coalgebra, we obtain a basis of Uq(sl2) in terms of combinations of paths of the quiver Click to view the MathML source; this special basis enables us to describe the category of Uq(sl2)-comodules by certain representations of Click to view the MathML source; and this description further permits us to construct a class of modules of SLq(2), from certain representations of Click to view the MathML source, via the duality between Uq(sl2) and SLq(2).

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