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Strong quadratic modules
Authors:G Stroth
Institution:1. 2. Mathematisches Institut, Freie Universit?t Berlin, Arnimalee 3, 1000, Berlin 33, Germany
Abstract:For a Chevalley groupG over a field of characteristic 2 we determine all irreducible modulesV overGF(2) such that V, R, Q]=0, whereR is a long root group andQ=Z 2(O 2(N G(R))). As a corollary we obtain a classification of those irreducible modules admitting a quadratic fours groupE which intersect a long root group nontrivially but is not contained in such a group.
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