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.
Mironov, Quantum deformation of τ -functions: Bilinear identities and representation theory , in: CRM Proceedings & Lecture Notes, 9 (1996) 219-237, [arxiv:9409190[hep-th]]
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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.