Baxter operators for the quantum sl(3) invariant spin chain

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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20 pages, 4 figures, references added

Scientific paper

10.1088/0305-4470/39/42/001

The noncompact homogeneous sl(3) invariant spin chains are considered. We
show that the transfer matrix with generic auxiliary space is factorized into
the product of three sl(3) invariant commuting operators. These operators
satisfy the finite difference equations in the spectral parameters which follow
from the structure of the reducible sl(3) modules.

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