Let V be a finite-dimensional vector space over a finite field and let f be a trilinear alternating form over V. For such forms, we introduce two new invariants. Together with a generalized radical polynomial used for classification of forms in dimension 8 over GF(2), they are sufficient to distinguish between all trilinear alternating forms in dimension 9 over GF(2). To prove the completeness of the list of forms, we computed their groups of automorphisms. There are 31 degenerate and 317 nondegenerate forms. We point out some forms with either small or large automorphism group.

中文翻译：

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GF（2）上的9维三线性交替形式的分类

设V为有限域上的有限维向量空间，设f为V上的三线性交替形式。对于这种形式，我们引入了两个新的不变量。连同用于对GF（2）上维度8的形式进行分类的广义自由基多项式，它们足以区分GF（2）上维度9的所有三线性交替形式。为了证明表单列表的完整性，我们计算了它们的同构组。有31个简并形式和317个非简并形式。我们指出了具有小同构群或大同构群的某些形式。