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arxiv: hep-th/9307130 · v1 · submitted 1993-07-21 · ✦ hep-th · math.QA

Quantum R-matrix and Intertwiners for the Kashiwara Algebra

classification ✦ hep-th math.QA
keywords intertwinersalgebrakashiwarar-matrixintroducematrixquantumanalogue
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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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