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Fibre Bundles pp 139-158 | Cite as

Clifford Algebras

  • Dale Husemoller
Part of the Graduate Texts in Mathematics book series (GTM, volume 20)

Abstract

Using methods from the theory of quadratic forms, one is able to construct vector bundles over spheres and projective spaces. We develop some general properties of Clifford algebras and completely calculate the Clifford algebras that arise in topology. Apart from constructing vector fields on a sphere, the topological applications are left to later chapters. Using Clifford algebras, we can give a concrete description of Spin(n).

Keywords

Vector Field Quadratic Form Fibre Bundle Clifford Algebra Irreducible Module 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Dale Hausemoller 1966

Authors and Affiliations

  • Dale Husemoller
    • 1
  1. 1.Department of MathematicsHaverford CollegeHaverfordUSA

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