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On Kostant's weight -multiplicity formula for
Rebecca E. Garcia, Pamela E. Harris, Marissa Loving +5
The -analog of Kostant's weight multiplicity formula is an alternating sum over a finite group, known as the Weyl group, whose terms involve the -analog of Kostant's partitio…
Visualizing the Support of Kostant's Weight Multiplicity Formula for the Rank Two Lie Algebras
Pamela E. Harris, Marissa Loving, Juan Ramirez +4
The multiplicity of a weight in a finite-dimensional irreducible representation of a simple Lie algebra g can be computed via Kostant's weight multiplicity formula. This formula co…
A Generalization of Parking Functions Allowing Backward Movement
Alex Christensen, Pamela E. Harris, Zakiya Jones +4
Classical parking functions are defined as the parking preferences for cars driving (from west to east) down a one-way street containing parking spaces labeled from to …
On broadcast domination of certain grid graphs
Natasha Crepeau, Pamela E. Harris, Sean Hays +4
Let be a connected graph with vertex set and edge set . We say a subset of dominates if every vertex in is adjacent t…