Quantum R-matrix and Intertwiners for the Kashiwara Algebra
Toshiki Nakashima
Abstract
We study the algebra Bq() 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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