Advertisement

Matrix Groups pp 145-162 | 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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Morton L. Curtis
    • 1
  1. 1.Department of MathematicsRice UniversityHoustonUSA

Personalised recommendations