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Algebra Seminar
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Sergey Khoroshkin
Institute of Theoretical and Experimental Physics, Moscow

Current structure of the quantum affine algebras

Friday 8th, November 12:05-12:55pm, Carslaw 373.

We shall survey the braid group action, different from Lusztig's, describe the nonsimple root currents, matrix coefficients, Serre relations and the integral formula for the universal R-matrix. The properies of the universal R-matrix in the Drinfeld comultiplication admit completely geometric reformulation. This helps to find a presentation of the universal R-matrix in the form of a series of contour integrals and then investigate and apply this presentation.