A construction of Hopf algebra cocycles for the double Yangian $DY(SL_{2})$
q-alg
2009-10-30 v1 Quantum Algebra
Abstract
We construct a Hopf algebra cocycle in the Yangian double , conjugating Drinfeld's coproduct to the usual one. To do that, we factorize the twist between two ``opposite'' versions of Drinfeld's coproduct, introduced in earlier work by V. Rubtsov and the first author, using the decomposition of the algebra in its negative and non-negative modes subalgebras.
Cite
@article{arxiv.q-alg/9703012,
title = {A construction of Hopf algebra cocycles for the double Yangian $DY(SL_{2})$},
author = {B. Enriquez and G. Felder},
journal= {arXiv preprint arXiv:q-alg/9703012},
year = {2009}
}
Comments
Amslatex file, 15 pages