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Real and Complex Matrix Groups

  • Andrew Baker
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

Throughout, k will denote a (commutative) field. Most of the time we will be interested in the cases of the fields k = ℝ (the real numbers) and k = ℂ (the complex numbers), however the general framework of this chapter is applicable to more general fields equipped with suitable norms in place of the absolute value. Indeed, as we will see in Chapter 4, much of it even applies to the case of a general normed division algebra or skew field, with the quaternions providing the most important non-commutative example.

Keywords

Topological Space Closed Subset Linear Isomorphism Continuous Homomorphism Matrix 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 London 2002

Authors and Affiliations

  • Andrew Baker
    • 1
  1. 1.Department of MathematicsUniversity of GlasgowGlasgowUK

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