2 problems

Geometrical Mackey filtration conjecture. The restriction of $\pi$ to $P$ has a filtration whose successive quotients are geometrical Mackey inductions.

Let $\lambda,\mu\vDash n$ be compositions, and let $M$ be an ${\mathscr S}_{\mu}$-module. Strong imaginary Mackey conjecture. The restriction of the induction of $M$ decomposes as…