dorsal/arxiv
View SchemaA construction of Hopf algebra cocycles for the double Yangian $DY(SL_{2})$
| Authors | B. Enriquez, G. Felder |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703012 |
| URL | https://arxiv.org/abs/q-alg/9703012 |
| DOI | 10.1088/0305-4470/31/10/015 |
Abstract
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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"abstract": "We construct a Hopf algebra cocycle in the Yangian double $DY(SL_{2})$,\nconjugating Drinfeld\u0027s coproduct to the usual one. To do that, we factorize the\ntwist between two ``opposite\u0027\u0027 versions of Drinfeld\u0027s coproduct, introduced in\nearlier work by V. Rubtsov and the first author, using the decomposition of the\nalgebra in its negative and non-negative modes subalgebras.",
"arxiv_id": "q-alg/9703012",
"authors": [
"B. Enriquez",
"G. Felder"
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"doi": "10.1088/0305-4470/31/10/015",
"title": "A construction of Hopf algebra cocycles for the double Yangian $DY(SL_{2})$",
"url": "https://arxiv.org/abs/q-alg/9703012"
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