V. R. Chintala: On Suslin Matrices and Their Connection to Spin Groups


Vineeth Reddy Chintala, On Suslin Matrices and Their Connection to Spin Groups, Documenta Math. Vol. 20 (2015), pp. 531-550, Abstract 2k, dvi.gz 30k, dvi 75k, ps.gz 234k, pdf 167k

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

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