Abstract
This chapter proves a remarkable correspondence arising from the work of Cheval-ley [1]. It will be shown that, in the nonmodular case, the ring of invariants of a finite pseudo-reflection group is a polynomial algebra and, furthermore, that this property actually characterizes nonmodular finite pseudo-reflection groups.
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© 2001 Springer Science+Business Media New York
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Kane, R., Borwein, J., Borwein, P. (2001). Nonmodular invariants of pseudo-reflection groups. 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_19
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DOI: https://doi.org/10.1007/978-1-4757-3542-0_19
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