1 citations · 2 across the 10 of their papers we have counts for
4 papers · 1 filter
Descent polynomials
Alexander Diaz-Lopez, Pamela E. Harris, Erik Insko +2
Let be a nonnegative integer and be a finite set of positive integers. In 1915, MacMahon proved that the number of permutations in the symmetric group with…
Computing weight -multiplicities for the representations of the simple Lie algebras
Pamela E. Harris, Erik Insko, Anthony Simpson
The multiplicity of a weight in an irreducible representation of a simple Lie algebra with highest weight can be computed via the use of Kostant's weight mul…
The singular locus of semisimple Hessenberg varieties
Erik Insko, Martha Precup
Although regular semisimple Hessenberg varieties are smooth and irreducible, semisimple Hessenberg varieties are not necessarily smooth in general. In this paper we determine the i…
Peaks on Graphs
Alexander Diaz-Lopez, Lucas Everham, Pamela E. Harris +3
Given a graph with vertices and a bijective labeling of the vertices using the integers , we say has a peak at vertex if the degree of is greater…