dorsal/arxiv
View SchemaHopf algebra extension of a Zamolochikov algebra and its double
| Authors | Jintai Ding |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612008 |
| URL | https://arxiv.org/abs/q-alg/9612008 |
Abstract
The particles with a scattering matrix R(x) are defined as operators $\Phi_i(z)$ satisfying the relation $ R_{i,j}^{j',i'}(x_1/x_2) \Phi_{i'}(x_1)\Phi_{j'}(x_2)= \Phi_i(x_2)\Phi_j(x_1)$. The algebra generated by those operators is called a Zamolochikov algebra. We construct a new Hopf algebra by adding half of the FRTS construction of a quantum affine algebra with this R(x). Then we double it to obtain a new Hopf algebra such that the full FRTS construction of a quantum affine algebra is a Hopf subalgebra inside. Drinfeld realization of quantum affine algebras is included as an example. This is a further generalization of the constructions in q-alg/9608002.
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"abstract": "The particles with a scattering matrix R(x) are defined as operators\n$\\Phi_i(z)$ satisfying the relation $ R_{i,j}^{j\u0027,i\u0027}(x_1/x_2)\n\\Phi_{i\u0027}(x_1)\\Phi_{j\u0027}(x_2)= \\Phi_i(x_2)\\Phi_j(x_1)$. The algebra generated by\nthose operators is called a Zamolochikov algebra. We construct a new Hopf\nalgebra by adding half of the FRTS construction of a quantum affine algebra\nwith this R(x). Then we double it to obtain a new Hopf algebra such that the\nfull FRTS construction of a quantum affine algebra is a Hopf subalgebra inside.\nDrinfeld realization of quantum affine algebras is included as an example. This\nis a further generalization of the constructions in q-alg/9608002.",
"arxiv_id": "q-alg/9612008",
"authors": [
"Jintai Ding"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Hopf algebra extension of a Zamolochikov algebra and its double",
"url": "https://arxiv.org/abs/q-alg/9612008"
},
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