On the General Classification of Lie Bialgebra Structures over Polynomials
Quantum Algebra
2010-04-12 v1
Abstract
The present paper is a continuation of [5], where Lie bialgebra structures on g[u] were studied. These structures fall into different classes labelled by the vertices of the extended Dynkin diagram of g. In [5] the Lie bialgebras corresponding to the maximal root were classified. In the present article, we investigate the Lie bialgebras corresponding to an arbitrary simple root.
Cite
@article{arxiv.1004.1531,
title = {On the General Classification of Lie Bialgebra Structures over Polynomials},
author = {Iulia Pop and Julia Yermolova-Magnusson},
journal= {arXiv preprint arXiv:1004.1531},
year = {2010}
}