Unitary Geometric Algebra

被引：0

作者：

Garret Sobczyk

机构：

[1] Universidad de Las Américas – Puebla,

来源：

Advances in Applied Clifford Algebras | 2012年 / 22卷

关键词：

11E39; 11E70; 11E88; 15A63; 15A66; 15A75; Geometric algebra; Clifford algebra; unitary space; hermitian inner product; hermitian outer product;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The geometric significance of the imaginary unit in a complex geometric algebra has troubled the author for 40 years. In the unitary geometric algebra presented here, the imaginary i is a unit (pseudo) vector with square minus one which anti commutes with all of the real vectors. The resulting natural hermitian inner product and hermitian outer product induce a grading of the algebra into complex k-vectors. Basic orthogonality relationships are studied.

引用

页码：827 / 836

页数：9