Page notifications Off Donate We know the schur basis, and many more, for the ring of symmetric functions over a field F . The next step of generalization is consider the field F(t) , and twist a ...Page notifications Off Donate We know the schur basis, and many more, for the ring of symmetric functions over a field F . The next step of generalization is consider the field F(t) , and twist a little bit the inner product. In contrast with Macdonald polynomials, we can give a closed expression for Hall-Littlewood polynomials.