English

The 4(th) structure

Quantum Algebra 2009-11-11 v1

Abstract

In this paper we describe all Lie bialgebra structures on the polynomial Lie algebra g[u]\mathbf{g}[u], where g\mathbf{g} is a simple, finite dimensional, complex Lie algebra. The results are based on an unpublished paper Montaner and Zelmanov. Further, we introduce quasi-rational solutions of the CYBE and describe all quasi-rational rr-matrices for sl(2)\mathbf{sl}(2).

Keywords

Cite

@article{arxiv.math/0612423,
  title  = {The 4(th) structure},
  author = {A. Stolin and J. Yermolova-Magnusson},
  journal= {arXiv preprint arXiv:math/0612423},
  year   = {2009}
}