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Abstract:
Affine Lie algebras appear in two different ways: first, they form
a special class of Kac-Moody Lie algebras; second, they are
central extensions of loop algebras. Studying their q-analogs
(quantum affine algebras) from the second point of view shows that
the crucial analytic features of the deformation are given by the
location of the poles of currents in question. This leads to a
construction of root currents and braid group action, and a
presentation of the universal R-matrix as a contour integral.
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