19 citations · 28 across the 4 of their papers we have counts for
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Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices
P. P. Kulish, N. Manojlovic, Z. Nagy
A reducible representation of the Temperley-Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centraliser of this action a quantum algebra…
Algebraic Bethe ansatz for the elliptic quantum group
Nenad Manojlovic, Zoltan Nagy
We implement the Bethe anstaz method for the elliptic quantum group . The Bethe creation operators are constructed as polynomials of the Lax matrix elements exp…
Construction of the Bethe State for the Elliptic Quantum Group
Nenad Manojlovic, Zoltan Nagy
Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the …
Creation operators and algebraic Bethe ansatz for the elliptic quantum group
Nenad Manojlovic, Zoltan Nagy
We define the elliptic quantum group and the transfer matrix corresponding to its simplest highest weight representation. We use Bethe anstaz method to construct th…