66 citations · 666 across the 45 of their papers we have counts for
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hep-th1993★ 7 cited
Polynomial Relations in the Centre of U_q(sl(N))
Daniel Arnaudon, Michel Bauer
When the parameter of deformation q is a m-th root of unity, the centre of U_q(sl(N))$ contains, besides the usual q-deformed Casimirs, a set of new generators, which are basically…
hep-th1993★ 11 cited
Finite Chains with Quantum Affine Symmetries
F. C. Alcaraz, D. Arnaudon, V. Rittenberg +1
We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional ope…
hep-th1993★ 8 cited
Quantum Chains with U_q(SL(2)) Symmetry and Unrestricted Representations
Daniel Arnaudon, Vladimir Rittenberg
We consider two-state (q^2=-1) and three-state (q^3=1) one-dimensional quantum spin chains with U_q(SL(2)) symmetry. Taking unrestricted representations (periodic, semi-periodic an…