Highest weight categories and strict polynomial functors
Representation Theory
2015-12-23 v3 Commutative Algebra
Algebraic Topology
Abstract
Highest weight categories are described in terms of standard objects and recollements of abelian categories, working over an arbitrary commutative base ring. Then the highest weight structure for categories of strict polynomial functors is explained, using the theory of Schur and Weyl functors. A consequence is the well-known fact that Schur algebras are quasi-hereditary.
Cite
@article{arxiv.1405.1691,
title = {Highest weight categories and strict polynomial functors},
author = {Henning Krause},
journal= {arXiv preprint arXiv:1405.1691},
year = {2015}
}
Comments
28 pages. This is a completely revised version (twice as long as version 2). The first part about highest weight categories over an arbitrary commutative base ring is new. Also the title has been changed