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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Curtis, M.L. (1979). Normalizers, Weyl Groups. In: Matrix Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0093-9_11
Download citation
DOI: https://doi.org/10.1007/978-1-4684-0093-9_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90462-7
Online ISBN: 978-1-4684-0093-9
eBook Packages: Springer Book Archive