QUANTIZED UNIVERSAL ENVELOPING ALGEBRA OF sl2 AND THE ASSOCIATED BRAIDING
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چکیده
In this text we use the quantum double construction to show that a suitable category of finite dimensional left U -modules is braided, where U is the quantized universal enveloping algebra of sl2(k). We produce the expression of the corresponding braiding as the action of a formal universal R-matrix for U . We indicate the generalization to sln(k) and the relation to Hecke algebras and Temperley-Lieb algebras. This text complements [4, Chpt. 4].
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