4 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…