5 papers · 1 filter
The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order
Portia X. Anderson, Esther Banaian, Melanie J. Ferreri +7
For integral weights and of a classical simple Lie algebra , Kostant's weight multiplicity formula gives the multiplicity of the weight in the irreducible…
Boolean intervals in the weak Bruhat order of a finite Coxeter group
Ben Adenbaum, Jennifer Elder, Pamela E. Harris +1
Given a Coxeter group with Coxeter system , where is finite. We provide a complete characterization of Boolean intervals in the weak order of uniformly for all C…
On the Lucky and Displacement Statistics of Stirling Permutations
Laura Colmenarejo, Aleyah Dawkins, Jennifer Elder +5
Stirling permutations are parking functions, and we investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among our results, we…
Vacillating parking functions
Bruce Fang, Pamela E. Harris, Brian M. Kamau +1
For any integers , we introduce a new family of parking functions called -vacillating parking functions of length . The parking rule for -vacillating parkin…
Unit interval parking functions and the -Fubini numbers
S. Alex Bradt, Jennifer Elder, Pamela E. Harris +5
We recall that unit interval parking functions of length are a subset of parking functions in which every car parks in its preference or in the spot after its preference, and F…