Some generalizations of Schur functors
Representation Theory
2020-11-13 v2 Rings and Algebras
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.
Cite
@article{arxiv.1708.06410,
title = {Some generalizations of Schur functors},
author = {Steven V Sam and Andrew Snowden},
journal= {arXiv preprint arXiv:1708.06410},
year = {2020}
}
Comments
13 pages