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Matrix Groups pp 143-160 | Cite as

Normalizers, Weyl Groups

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

Abstract

We saw in Chapter X that Sp(1) ≅ Spin(3) and Sp(2) ≅ Spin(5) (also that Spin(6) ≅ SU(4) ). The only remaining question in our isomorphism puzzle is whether Sp(k) and Spin(2k+1) are isomorphic for k ≥ 3 . In this chapter, we will use normalizers and Weyl groups to show that they are not.

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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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