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Quantization of geometric classical r-matrices

Pavel Etingof·Alexandre Soloviev
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Abstract

In this note we define geometric classical r-matrices and quantum R-matrices, and show how any geometric classical r-matrix can be quantized to a geometric quantum R-matrix. This is one of the simplest nontrivial examples of quantization of solutions of the classical Yang-Baxter equation, which can be explicitly computed.

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Pavel Etingof, Alexandre Soloviev. 1999-03-02. Quantization of geometric classical r-matrices. https://arxiv.org/abs/math/9811001

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