Abstract: 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
Source: Email from mathrev_AT_ams.org, 05 Dec. 2015, http://www.math.uiuc.edu/documenta/vol-20/vol-20-eng.html, pdf