Abstract
Reflections and reflection groups in Euclidean space have important generalizations. In this chapter, we discuss pseudo-reflections. This chapter, as well as the next, is preliminary to the study of invariant theory, since it is invariant theory that motivates the introduction of pseudo-reflections. Most of our discussion of invariant theory naturally takes place in the context of pseudo-reflection groups. However, it will take several chapters before we are able to demonstrate this point.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kane, R., Borwein, J., Borwein, P. (2001). Pseudo-reflections. In: Borwein, J., Borwein, P. (eds) Reflection Groups and Invariant Theory. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3542-0_15
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3542-0_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3194-8
Online ISBN: 978-1-4757-3542-0
eBook Packages: Springer Book Archive