Homomorphisms from Specht Modules to Signed Young Permutation Modules

Kay Jin Lim, Kai Meng Tan

We construct a class ${\Theta }_{\mathcal{R}}$ of homomorphisms from a Specht module $S_{\mathbb{Z}}^{\lambda }$ to a signed permutation module $M_{\mathbb{Z}}(\alpha |\beta )$ which generalises James's const…