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math.QA1998★ 4 cited
Quantization of geometric classical r-matrices
Pavel Etingof, Alexandre Soloviev
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 i…
math.QA1998★ 483 cited
Set-theoretical solutions to the quantum Yang-Baxter equation
Pavel Etingof, Travis Schedler, Alexandre Soloviev
In 1992 VDrinfeld formulated a number of problems in quantum group theory. In particular, he suggested to consider ``set-theoretical'' solutions to the quantum Yang-Baxter equat…