Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups.

The article examines Morita equivalences for blocks of the covering groups of the symmetric and alternating groups. The paper shows results that demonstrate the existence of these equivalences from crossovers between blocks of the covering groups. It also discusses Morita cases obtained by using an involution and are parity-preserving. The existence of various functors involving module categories of blocks of the covering groups of the symmetric group and alternating groups has also shown some relevance to crossovers.