The classical Jacobi--Trudi identities express Schur polynomials as determinants whose entries are complete homogeneous or elementary symmetric polynomials. Weyl proved analogous determinant formulas for the symplectic and orthogonal Schur polynomials. In this talk, I will present (dual) Jacobi--Trudi-type identities for Hall--Littlewood polynomials of type A_n and for certain specializations of multiparameter Hall--Littlewood polynomials of types B_n, C_n and BC_n indexed by rectangular shapes.
The talk is based on a joint work with Ilse Fischer, Moritz Gangl, {\'A}lvaro Guti\'errez.