On the General Classification of Lie Bialgebra Structures over Polynomials

Details On the General Classification of Lie Bialgebra Structures over Polynomials On the General Classification of Lie Bialgebra Structures over Polynomials

2010-04-09

arxiv.org/abs/1004.1531v1

Mathematics

Quantum Algebra

Scientific paper

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.

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