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Special factors in restrictions of irreducible modules of special linear and symplectic groups to subsystem subgroups with two simple components

Special factors in restrictions of irreducible modules of special linear and symplectic groups to subsystem subgroups with two simple components

The restrictions of irreducible modules of special linear and symplectic groups in an odd characteristic p with p-large highest weights to a subsystem subgroup H of maximal rank with two simple components H1 and H2 are considered. The lower estimate for the number of composition factors for such restrictions, which …