关于Suslin矩阵及其与自旋群的联系

IF 0.9 3区数学 Q2 MATHEMATICS

Documenta Mathematica Pub Date : 2020-09-25 DOI:10.4171/dm/498

Vineeth Chintala

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引用次数: 4

摘要

Clifford代数(对于任何双曲二次空间)的具体表示是用所谓的Suslin矩阵给出的。这种显式结构用于分析相应的自旋群和对合，并可能对低维计算感兴趣。相反，这种与Clifford代数的联系为Suslin矩阵的一些(看似偶然的)性质提供了概念基础。

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On Suslin matrices and their connection to spin groups

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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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.