论文标题

关于Suslin矩阵及其与旋转组的联系

On Suslin Matrices and their connection to Spin groups

论文作者

Chintala, Vineeth

论文摘要

Clifford代数的具体表示(对于任何双曲线二次空间)是使用所谓的SUSLIN矩阵给出的。这种明确的结构用于分析相应的自旋组和互动,并且可能在低维计算中引起人们的关注。相反,与Clifford代数的这种联系为Suslin矩阵的某些(看似偶然的)属性奠定了概念基础。

A concrete representation of the Clifford algebra (for any hyperbolic quadratic space) is given using what are called Suslin matrices. This explicit construction is used to analyze the corresponding Spin groups and the involution and might be of interest in low dimensional computations. Conversely, this connection to Clifford algebras gives a conceptual foundation to some (seemingly accidental) properties of Suslin matrices.

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