3 citations · 6 across the 14 of their papers we have counts for
7 papers · 1 filter
Congruences in character tables of symmetric groups
Alexander R. Miller
If and are two non-empty Young diagrams with the same number of squares, and and are obtained by dividing each square into congruent squ…
Walls in Milnor fiber complexes
Alexander R. Miller
For a real reflection group the reflecting hyperplanes cut out on the unit sphere a simplicial complex called the Coxeter complex. Abramenko showed that each reflecting hyperplane…
Orthogonal polynomials and Smith normal form
Alexander R. Miller, Dennis Stanton
Smith normal form evaluations found by Bessenrodt and Stanley for some Hankel matrices of q-Catalan numbers are proven in two ways. One argument generalizes the Bessenrodt-Stanley…
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…
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…
Reflection arrangements and ribbon representations
Alexander Miller
Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equival…