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arXiv · 2303.08079

The Gini index in the representation theory of the general linear group

Grant Kopitzke
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Abstract

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. 2023-03-14. The Gini index in the representation theory of the general linear group. https://arxiv.org/abs/2303.08079

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