Creation operators and algebraic Bethe ansatz for the elliptic quantum groupEτ,η(so3)
N. Manojlović, Zoltán Nagy
We define the elliptic quantum group E τ,η ( so 3 ) and the transfer matrix corresponding to its simplest highest weight representation. We use the Bethe ansatz method to construct the creation operators as polynomials of the Lax matrix elements expressed through a recurrence relation. We give common eigenvectors and eigenvalues of the family of commuting transfer matrices.
arXiv:math/0612087•Journal of Physics A Mathematical and Theoretical•Mar 23, 2007•5 citations