On Suslin Matrices and Their Connection to Spin Groups

A representation of the Clifford algebra (of a hyperbolic module) is given using what are called Suslin matrices. This explicit construction is used to analyze the corresponding Spin groups. Moreover, some properties of Suslin matrices are better understood via this link to Clifford algebras.

2010 Mathematics Subject Classification: 13C10, 15A63, 15A66, 17C50

Keywords and Phrases: Clifford algebra, Spin groups, Suslin matrices, Unimodular rows, Jordan algebra

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