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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.
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Grant Kopitzke (2023) studied this question.
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