2023/03/14 by Kopitzke, Grant
#05E10 #20G05 #91B82 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2303.08079
The Gini index is a function that attempts to measure the amount of inequality in the distribution of a finite resource throughout a population. It is commonly used in economics as a measure of inequality of income or wealth. We define a discrete Gini index on the set of integer partitions with at most n parts and show how this function emerges in the representation theory of the complex general linear group.