论文标题
重新审视的多人收缩，第一部分
Multivector Contractions Revisited, Part I
论文作者
论文摘要
我们重组，简化和扩展了多生的收缩或内部产品理论，以及诸如Hodge Star二元性等相关主题。许多结果是广义化的，并给出了新的结果，例如：叶片收缩和回归产品的几何特征，高阶分级莱布尼兹规则，确定性公式，改进的复杂恒星操作员等。该理论的应用是在后续文件中开发的。
We reorganize, simplify and expand the theory of contractions or interior products of multivectors, and related topics like Hodge star duality. Many results are generalized and new ones are given, like: geometric characterizations of blade contractions and regressive products, higher-order graded Leibniz rules, determinant formulas, improved complex star operators, etc. Different contractions and conventions found in the literature are discussed and compared, in special those of Clifford Geometric Algebra. Applications of the theory are developed in a follow-up paper.
