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Matrix Groups pp 131-142 | Cite as

Spin(k)

  • Morton L. Curtis
Part of the Universitext book series (UTX)

Abstract

One way of constructing groups which are subsets of some ℝn is: Let a be a finite-dimensional real algebra and let G be the group of units in a . We get more groups as subgroups of G . For example, we have used the algebra Mn(ℝ) in which the group of units is GL(n,ℝ) and we have the important subgroup SO(n) . Our groups Spin(k) are subgroups of the group of units in the Clifford algebra Ck .

Keywords

Clifford Algebra Center Spin Algebra Homomorphism Closed Manifold Spin Group 
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

© Springer-Verlag New York Inc. 1984

Authors and Affiliations

  • Morton L. Curtis
    • 1
  1. 1.Department of MathematicsRice University, Weiss School of Natural SciencesHoustonUSA

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