483 citations · 489 across the 3 of their papers we have counts for
3 papers
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…
q-alg1997★ 2 cited
Cartan-Weyl Basis for Yangian Double
Alexandre Soloviev
We give a new realization of via Cartan-Weyl elements. An algebraic description of Yangian Double , explicit comultiplication formulas and universal R-matrix ar…