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Arreche, Carlos E. ; Zhang, Yi ( , Advances in Applied Mathematics)
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Arreche, Carlos E. ; Williams, Nathan F. ( , Journal of the Institute of Mathematics of Jussieu)Abstract We study normal reflection subgroups of complex reflection groups. Our approach leads to a refinement of a theorem of Orlik and Solomon to the effect that the generating function for fixed-space dimension over a reflection group is a product of linear factors involving generalised exponents. Our refinement gives a uniform proof and generalisation of a recent theorem of the second author.more » « less
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Arreche, Carlos E. ; Dreyfus, Thomas ; Roques, Julien ( , Journal de l’École polytechnique — Mathématiques)null (Ed.)