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Hopf algebra extension of a Zamolochikov algebra and its double

Jintai Ding
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Abstract

The particles with a scattering matrix R(x) are defined as operators $Φ_i(z)$ satisfying the relation $ R_{i,j}^{j',i'}(x_1/x_2) Φ_{i'}(x_1)Φ_{j'}(x_2)= Φ_i(x_2)Φ_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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BibTeXRIS

Jintai Ding. 1996-12-05. Hopf algebra extension of a Zamolochikov algebra and its double. https://arxiv.org/abs/q-alg/9612008

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