A construction of Hopf algebra cocycles for the double Yangian $DY(SL_{2})$

Details A construction of Hopf algebra cocycles for the double Yangian $DY(SL_{2})$ A construction of Hopf algebra cocycles for the double Yangian $DY(SL_{2})$

1997-03-06

arxiv.org/abs/q-alg/9703012v1

Mathematics

Quantum Algebra

Amslatex file, 15 pages

Scientific paper

10.1088/0305-4470/31/10/015

We construct a Hopf algebra cocycle in the Yangian double $DY(SL_{2})$,
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.

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