nLab classical r-matrix




An RR-matrix is a solition to a Yang-Baxter equation:

A classical r-matrix is a solution of classical Yang-Baxter equation.

(A quantum R-matrix is a solution to the quantum Yang-Baxter equation.)

Yang-Baxter equations


  • M. A. Semenov-Tyan-Shanskii, Classical r-matrices and quantization, J. Math. Sciences 31:6 (1985), 3411-3416, doi; Classical r-matrices and the method of orbits, J. Math. Sciences 28:4 (1985), 513-524, doi

  • V. G. Drinfel'd, Quantum groups, Proceedings of the International Congress of Mathematicians 1986, Vol. 1, 798–820, AMS 1987, djvu:1.3M, pdf:2.5M

  • Victor Mouquin, The Fock-Rosly Poisson structure as defined by a quasitriangular r-matrix, arxiv/1610.01782

Last revised on December 26, 2022 at 15:21:26. See the history of this page for a list of all contributions to it.