William J. Husen
Restrictions of Omega_m(q) modules to alternating groups
Pacific J. Math. 192 (2000), 297-306.

We consider the restriction of an irreducible F\Omega_m(q)-module
M to a subgroup H where F^*(H) \cong A_n and where F is
algebraicially closed with (char(F),q) \ne 1. Given certain restrictions
on the highest weight of M, we show that if m > n^6, then M\downarrow_H
is reducible.