关于几何代数中Plucker关系的注记
Notes on Plucker's relations in Geometric Algebra
摘要：
Grassmannian在射影几何、代数几何和表示论中具有根本的重要性。大量的文献已经成长起来利用使用许多不同的语言高等数学，如多线性和张量代数，拟阵理论，李群和李代数。在这里，我们探讨的基本思想的Plucker关系克利福德的几何代数。我们发现，Plucker关系可以充分的几何产品的特点，而不需要一个混乱的大杂烩中发现的许多不同的形式主义和数学传统的文献。
英文摘要：
Grassmannians are of fundamental importance in projective geometry, algebraic geometry, and representation theory. A vast literature has grown up utilizing using many different languages of higher mathematics, such as multilinear and tensor algebra, matroid theory, and Lie groups and Lie algebras. Here we explore the basic idea of the Plucker relations in Clifford's geometric algebra. We discover that the Plucker Relations can be fully characterized in terms of the geometric product, without the need for a confusing hodgepodge of many different formalisms and mathematical traditions found in the literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
