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# Algebraic Bethe ansatz for the elliptic quantum group E_{\tau,\eta}(so_3)

GFM seminar
CIUL, B1-01
2007-01-24 14:30 .. 15:30
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by Nenad Manojlović (GFMUL / Universidade do Algarve, Portugal)

We define the elliptic quantum group Eτ,η(so3) and the transfer matrix corresponding to its simplest highest weight representation. We use 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. This work was done in collaboration with Zoltan Nagy at the University of Algarve.