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R-matrix and inverse Shapovalov form

Published 10 Dec 2014 in math.QA | (1412.3384v2)

Abstract: We construct the inverse Shapovalov form of a simple complex quantum group from its universal R-matrix based on a generalized Nagel-Moshinsky approach to lowering operators. We establish a connection between this algorithm and the ABRR equation for dynamical twist.

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