Abstract
By using explicit forms for the Clifford matrices in V s a subsystem {Q u } of the Clifford algebra is devised which is an orthogonal (rotation) group, i.e. QQT = 1, det Q = + 1. The matrices Q u ( pseudo-quaternions are in (1, 1) correspondence with vectors u of Vs which satisfy a certain quadratic condition ( spinors ) , and in (2, 1) correspondence with the full rotation group of matrices A in V 4 The matrices A are given explicitly in terms of quadratic forms of spinors.
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