arXiv subjects

Julia Yermolova-Magnusson

Publications and source records attributed to Julia Yermolova-Magnusson.

2 recordsLinked to original sources

arXiv2010

On the General Classification of Lie Bialgebra Structures over Polynomials

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.

math.QA↗

arXiv2009

New $r$-Matrices for Lie Bialgebra Structures over Polynomials

For a finite dimensional simple complex Lie algebra $\mathfrak{g}$, Lie bialgebra structures on $\mathfrak{g}[[u]]$ and $\mathfrak{g}[u]$ were classified by Montaner, Stolin and Zelmanov. In our paper, we provide an explicit algorithm to produce $r$-matrices which correspond to Lie bialgebra structures over polynomials.

math.QA↗