Clifford 代数与八元数张量积上的显式 Witt 基
Explicit Witt basis over the tensor product of Clifford algebras and octonions
AI总结：
针对 Clifford 代数与多个八元数空间张量积中的复结构问题，论文利用由二元码刻画的八元数自同构子群构造显式 Witt 基，从而引入复坐标并支持 Hermitian 分析。
摘要：
本文研究在高维空间中 Witt 基如何充当实变量与复变量之间的联系。我们重点关注结合 Clifford 代数与多个八元数空间的张量积空间内 Witt 基的详细构造。该构造有效地引入了复坐标。该技术基于一个以二元码区分的八元数自同构特定子群。此方法使我们能够对张量积空间内的复结构进行 Hermitian 分析。
英文摘要：
In this article, we investigate how the Witt basis serves as a link between real and complex variables in higher-dimensional spaces. Our focus is on the detailed construction of the Witt basis within the tensor product space combining Clifford algebra and multiple octonionic spaces. This construction effectively introduces complex coordinates. The technique is based on a specific subgroup of octonionic automorphisms, distinguished by binary codes. This method allows us to perform a Hermitian analysis of the complex structures within the tensor product space.
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。
