Quantization of geometric classical r-matrices

Mathematics – Quantum Algebra

Scientific paper

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7 pages, AMS LaTex, no figures, corrected a sign error

Scientific paper

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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