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We construct a free field realization of the ground state of the boundarytransfer matrix for the $U_{q,p}(\hat{sl}_3)$ ABF model. Using this groundstate and type-II vertex operator, we have a diagonalization of the boundarytransfer matrix.

Diagonalization of boundary transfer matrix for the $U_{q,p}(\hat{sl}(3,{\bf C}))$ ABF model