On the 2-modular reduction of the Steinberg representation of the symplectic group

Details On the 2-modular reduction of the Steinberg representation of the symplectic group On the 2-modular reduction of the Steinberg representation of the symplectic group

2002-12-30

arxiv.org/abs/math/0212378v1

Mathematics

Representation Theory

Scientific paper

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 (q^n-1)/2.

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