On the general classification of Lie bialgebra structures over polynomials

Journal article, 2012

The present article is a continuation of [5], where Lie bialgebra structures on [u] were studied. These structures fall into different classes labelled by the vertices of the extended Dynkin diagram of . In [5] the Lie bialgebras corresponding to − αmax were classified. In the present article, we investigate the Lie bialgebras corresponding to an arbitrary simple root α.