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math.RT2000
Logarithmic forms and anti-invariant forms of reflection groups
Hiroaki Terao, Anne V. Shepler
Let W be a finite group generated by unitary reflections and A be the set of reflecting hyperplanes. We will give a characterization of the logarithmic differential forms with pole…
math.GR2000
The Sign Representation for Shephard Groups
Peter Orlik, Victor Reiner, Anne V. Shepler
Shephard groups are unitary reflection groups arising as the symmetries of regular complex polytopes. For a Shephard group, we identify the representation carried by the principal…