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Representation Stability

15 Apr 2014arXiv:1404.4065links table onlyarchive 2025-07-28

Benson Farb

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Representation stability is a phenomenon whereby the structure of certain sequences Xₙ of spaces can be seen to stabilize when viewed through the lens of representation theory. In this paper I describe this phenomenon and sketch a framework, the theory of FI-modules, that explains the mechanism behind it.

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