dorsal/arxiv
View SchemaColoured Hopf algebras and their duals
| Authors | C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9711011 |
| URL | https://arxiv.org/abs/q-alg/9711011 |
| Journal | Proc. 5th Wigner Symp., Vienna, Austria, 25-29 August 1997, Eds. P. Kasperkovitz and D. Grau (World Scientific,, Singapore, 1998) 57-59 |
Abstract
Coloured Hopf algebras, related to the coloured Yang-Baxter equation, are reviewed, as well as their duals. The special case of coloured quantum universal enveloping algebras provides a coloured extension of Drinfeld and Jimbo formalism. The universal $\cal T$-matrix is then generalized to the coloured context, and shown to lead to an algebraic formulation of the coloured RTT-relations, previously proposed by Basu-Mallick as part of a coloured extension of Faddeev, Reshetikhin, and Takhtajan approach to quantum groups and quantum algebras.
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"abstract": "Coloured Hopf algebras, related to the coloured Yang-Baxter equation, are\nreviewed, as well as their duals. The special case of coloured quantum\nuniversal enveloping algebras provides a coloured extension of Drinfeld and\nJimbo formalism. The universal $\\cal T$-matrix is then generalized to the\ncoloured context, and shown to lead to an algebraic formulation of the coloured\nRTT-relations, previously proposed by Basu-Mallick as part of a coloured\nextension of Faddeev, Reshetikhin, and Takhtajan approach to quantum groups and\nquantum algebras.",
"arxiv_id": "q-alg/9711011",
"authors": [
"C. Quesne"
],
"categories": [
"q-alg",
"math.QA"
],
"journal_ref": "Proc. 5th Wigner Symp., Vienna, Austria, 25-29 August 1997, Eds.\n P. Kasperkovitz and D. Grau (World Scientific,, Singapore, 1998) 57-59",
"title": "Coloured Hopf algebras and their duals",
"url": "https://arxiv.org/abs/q-alg/9711011"
},
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