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arXiv · 1708.06410

Some generalizations of Schur functors

Steven V Sam·Andrew Snowden
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Abstract

The theory of Schur functors provides a powerful and elegant approach to the representation theory of GL_n - at least to the so-called polynomial representations - especially to questions about how the theory varies with n. We develop parallel theories that apply to other classical groups and to non-polynomial representations of GL_n. These theories can also be viewed as linear analogs of the theory of FI-modules.

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Steven V Sam, Andrew Snowden. 2017-08-21. Some generalizations of Schur functors. https://doi.org/10.1090/proc%2F14205

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