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.
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© 2001 Springer Science+Business Media New York
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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
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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