Analytic Bethe ansatz related to the Lie superalgebra C(s)

An analytic Bethe ansatz is carried out related to the type 1 Lie superalgebra C(s). We present eigenvalue formulae of transfer matrices in dressed vacuum form (DVF) labeled by Young superdiagrams with one row or one column. We also propose an DVF related to a one-parameter family of finite-dimensional irreducible representations. A class of transfer matrix functional relations among these formulae is discussed.