Quantum R-matrix and Intertwiners for the Kashiwara Algebra

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages

Scientific paper

10.1007/BF02101701

We study the algebra $B_q(\ge)$ presented by Kashiwara and introduce intertwiners similar to $q$-vertex operators. We show that a matrix determined by 2-point functions of the intertwiners coincides with a quantum R-matrix (up to a diagonal matrix) and give the commutation relations of the intertwiners. We also introduce an analogue of the universal R-matrix for the Kashiwara algebra.

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