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math.CO2012
Eigenspace arrangements of reflection groups
Alexander R. Miller
The lattice of intersections of reflecting hyperplanes of a complex reflection group W may be considered as the poset of 1-eigenspaces of the elements of W. In this paper we replac…
math.CO2012
Differential posets have strict rank growth: a conjecture of Stanley
Alexander Miller
We establish strict growth for the rank function of an r-differential poset. We do so by exploiting the representation theoretic techniques developed by Reiner and the author for s…