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On quantum shuffle and quantum affine algebras

Pascal Grosse

math.QAarXiv:math/0107176

Abstract

A construction of the quantum affine algebra Uq(g) is given in two steps. We explain how to obtain the algebra from its positive Borel subalgebra Uq(b+), using a construction similar to Drinfeld's quantum double. Then we show how the positive Borel subalgebra can be constructed with quantum shuffles.

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