LAUSR

We consider two different subjects: the algebra of Hall–Littlewood functions and t-boson model. Tsilevich and Sulkowski, respectively, give that the creation operator B(u) in the monodromy matrix of t-boson model can be represented by H(z), where H(z) and H⊥(z) are vertex operators closely related to the Hall–Littlewood functions. In this paper, we obtain that the annihilation operator C(u) in the monodromy matrix and other relations of t-boson model can also be realized in the algebra of Hall–Littlewood functions. Meanwhile, we get that the generating functions of weighted plane partitions in finite boxes can be obtained from the operators B(u),C(u).