An explicit bilinear identity and tau-function construction is given for U_q(sl3) that works for arbitrary elements of the quantum group, not only special 'group-like' ones.
Consider, we define two respective embedding operators: right and left ER : ˆV − →V ⊗ W, (3a) E′ L : ˆV ′ − →W ′ ⊗ V ′
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Towards the {\tau}-function of the quantum groups
An explicit bilinear identity and tau-function construction is given for U_q(sl3) that works for arbitrary elements of the quantum group, not only special 'group-like' ones.