Kimberly J. Harry

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math.RT2024

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 $λ$ and $μ$ of a classical simple Lie algebra $g$ , Kostant's weight multiplicity formula gives the multiplicity of the weight $μ$ in the irreducible…

math.RT2023

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 $μ$ in the adjoint representati…

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