Kimberly J. Harry

collaborators

Showing math.RTShow all

2 papers · 1 filter

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.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…

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

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

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