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 = Z[g^1/2, q^-1/2], where q is an indeterminate)...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 = Z[g^1/2, q^-1/2], where q is an indeterminate) using C-bases for these modules. Moreover, we provide a link bet ween a certain C-basis for the induced Specht module and the notion of pairs of partitions.展开更多
文摘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 = Z[g^1/2, q^-1/2], where q is an indeterminate) using C-bases for these modules. Moreover, we provide a link bet ween a certain C-basis for the induced Specht module and the notion of pairs of partitions.
