0 D ec 2 00 2 On the 2 - modular reduction of the Steinberg representation of the symplectic group
نویسنده
چکیده
We show that in characteristic 2, the Steinberg representation of the symplectic group Sp 2n (q), q a power of an odd prime p, has two irreducible constituents lying just above the socle that are isomorphic to the two Weil modules of degree (qn −1)/2.
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