# nLab classical r-matrix

### Context

#### Algebra

higher algebra

universal algebra

# Contents

## Idea

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

## References

• 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