The Adjoints of the Schur Functor
Representation Theory
2016-01-21 v2
Abstract
We show that the left and right adjoint of the Schur functor can be expressed in terms of the monoidal structure of strict polynomial functors. Using this result we give a necessary and sufficient condition for when the tensor product of two simple strict polynomial functors is again simple.
Keywords
Cite
@article{arxiv.1601.03513,
title = {The Adjoints of the Schur Functor},
author = {Rebecca Reischuk},
journal= {arXiv preprint arXiv:1601.03513},
year = {2016}
}