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arXiv · 2402.10648

Polynomial functors on flags

Teresa Yu
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Abstract

We study generalizations of Schur functors from categories consisting of flags of vector spaces. We give different descriptions of the category of such functors in terms of representations of certain combinatorial categories and infinite rank groups, and we apply these descriptions to study polynomial representations and representation stability of parabolic subgroups of general linear groups.

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Teresa Yu. 2024-02-16. Polynomial functors on flags. https://arxiv.org/abs/2402.10648

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