44 citations · 78 across the 13 of their papers we have counts for
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Degenerations and representations of twisted Shibukawa-Ueno R-operators
Robin Endelman, Timothy J. Hodges
We study degenerations of the Belavin R-matrices via the infinite dimensional operators defined by Shibukawa-Ueno. We define a two-parameter family of generalizations of the Shibuk…
The Double and Dual of a Quasitriangular Lie Bialgebra
Timothy J. Hodges, Milen Yakimov
Let G be a connected, simply connected Poisson-Lie group with quasitriangular Lie bialgebra g. An explicit description of the double D(g) is given, together with the embeddings of…
Quantization of certain skew-symmetric solutions of the classical Yang-Baxter equation
Robin Endelman, Timothy J. Hodges
An explicit quantization is given of certain skew-symmetric solutions of the classical Yang-Baxter, yielding a family of -matrices which generalize to higher dimensions the Jord…
Generating functions for the coefficients of the Cremmer-Gervais R-matrices
Timothy J. Hodges
The coefficients of certain operators on can be constructed using generating functions. Necessary and sufficient conditions are given for some such operators to satisf…