English

Quantization of geometric classical r-matrices

Quantum Algebra 2007-05-23 v3

Abstract

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.

Keywords

Cite

@article{arxiv.math/9811001,
  title  = {Quantization of geometric classical r-matrices},
  author = {Pavel Etingof and Alexandre Soloviev},
  journal= {arXiv preprint arXiv:math/9811001},
  year   = {2007}
}

Comments

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