Kimberly J. Harry

collaborators

4 papers

math.RT2025

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 $I^»$ and $I^¼$ of a classical simple Lie algebra $g$ , Kostant's weight multiplicity formula gives the multiplicity of the weight $I^¼$ in the irreduci…

math.CO2024

Interval and $ℓ$ -interval Rational Parking Functions

TomÃ¡s Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia +12

Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions…

math.RT2024

Computing the $q$ -Multiplicity of the Positive Roots of $sl_{r + 1} (C)$ and Products of Fibonacci Numbers

Kimberly J. Harry

Using Kostant's weight multiplicity formula, we describe and enumerate the terms contributing a nonzero value to the multiplicity of a positive root $I^¼$ in the adjoint representat…

math.CO2024

On some discrete statistics of parking functions

Ari Cruz, Pamela E. Harris, Kimberly J. Harry +5

Recall that $I^\pm = (a_{1}, a_{2}, \dots, a_{n}) \in [n]^{n}$ is a parking function if its nondecreasing rearrangement $I^^{2} = (b_{1}, b_{2}, \dots, b_{n})$ satisfies $b_{i} \leq i$ for all $1 \leq i \leq n$ . In t…

The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order

Interval and ℓ-interval Rational Parking Functions

Computing the q-Multiplicity of the Positive Roots of slr+1​(C) and Products of Fibonacci Numbers

On some discrete statistics of parking functions

Interval and $ℓ$ -interval Rational Parking Functions

Computing the $q$ -Multiplicity of the Positive Roots of $sl_{r + 1} (C)$ and Products of Fibonacci Numbers