Title: On $C$-bases, partition pairs and filtrations for induced or restricted Specht modules,
Abstract: We obtain alternative explicit Specht filtrations for the induced and the
restricted Specht modules in the Hecke algebra of the symmetric group (defined
over the ring $A=\mathbb Z[q^{1/2},q^{-1/2}]$ where $q$ is an indeterminate)
using $C$-bases for these modules. Moreover, we provide a link between a
certain $C$-basis for the induced Specht module and the notion of pairs of
partitions.