4 citations · 4 across the 5 of their papers we have counts for
6 papers
Metric Dimension of a Diagonal Family of Generalized Hamming Graphs
Briana Foster-Greenwood, Christine Uhl
Classical Hamming graphs are Cartesian products of complete graphs, and two vertices are adjacent if they differ in exactly one coordinate. Motivated by connections to unitary Cayl…
Degree-One Rational Cherednik Algebras for the Symmetric Group
Briana Foster-Greenwood, Cathy Kriloff
Drinfeld orbifold algebras deform skew group algebras in polynomial degree at most one and hence encompass graded Hecke algebras, and in particular symplectic reflection algebras a…
Graphs admitting only constant splines
Katie Anders, Alissa Crans, Briana Foster-Greenwood +2
We study {\em generalized graph splines,} introduced by Gilbert, Viel, and the last author. For a large class of rings, we characterize the graphs that only admit constant splines.…
Drinfeld Orbifold Algebras for Symmetric Groups
Briana Foster-Greenwood, Cathy Kriloff
Drinfeld orbifold algebras are a type of deformation of skew group algebras generalizing graded Hecke algebras of interest in representation theory, algebraic combinatorics, and no…
Spectra of Cayley Graphs of Complex Reflection Groups
Briana Foster-Greenwood, Cathy Kriloff
Renteln proved that the eigenvalues of the distance matrix of a Cayley graph of a real reflection group with respect to the set of all reflections are integral and provided a combi…
Comparing Codimension and Absolute Length in Complex Reflection Groups
Briana Foster-Greenwood
Reflection length and codimension of fixed point spaces induce partial orders on a complex reflection group. While these partial orders are of independent combinatorial interest, o…