Spinor Algebra

  • Gerardo F. Torres del Castillo
Part of the Progress in Mathematical Physics book series (PMP, volume 59)


It is shown that any four-dimensional real vector space with an inner product can be identified with a subspace of the product of two complex two-dimensional vector spaces. Making use of this identification, it is shown that each orthogonal transformation can be related with a pair of linear transformations acting on these two-dimensional spaces and several properties of tensors are also derived.


Clifford Algebra Null Vector Orthogonal Transformation Spinor Formalism Lorentzian Signature 
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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Instituto de CienciasUniversidad Autónoma de PueblaPueblaMéxico

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