Maximal parabolic subgroups in OV Introduction
نویسنده
چکیده
Definition 1. Let G be a permutation group on a set and x be an element of . Then Gx g ∈ G ∣ gx x is called the stabilizer of x and consists of all the permutations of G that produce group fixed points in x. Definition 2. A vector subspace S ⊂ V is isotropic if for any v,w ∈ S, the symmetric bilinear form satisfies: Bv,w 0 Definition 3. A maximal parabolic subgroup in an orthogonal group OV is the stabilizer of an isotropic subspace S ⊂ V in OV.
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