QuantumR-matrix and intertwiners for the Kashiwara algebra |
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Authors: | Toshiki Nakashima |
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Institution: | (1) Department of Mathematical Science, Faculty of Engineering Science, Osaka University, 560 Toyonaka, Osaka, Japan |
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Abstract: | We study the algebraB
q
(g) presented by Kashiwara and introduce intertwiners similar toq-vertex operators. We show that a matrix determined by 2-point functions of the intertwiners coincides with a quantumR-matrix (up to a diagonal matrix) and give the commutation relations of the intertwiners. We also introduce an analogue of the universalR-matrix for the Kashiwara algebra. |
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Keywords: | |
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