Abstract
The main goal of this chapter is to study the Poincaré series of Euclidean reflection groups. As an application of these results, we shall demonstrate a very explicit, and effective, method of calculating the degrees and exponents of a Weyl group from its underlying crystallographic root system. This chapter relies heavily on the results of Demazure [1].
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© 2001 Springer Science+Business Media New York
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Kane, R., Borwein, J., Borwein, P. (2001). Poincaré series for the ring of covariants. 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_24
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DOI: https://doi.org/10.1007/978-1-4757-3542-0_24
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