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arXiv:1405.1691 [math.RT]AbstractReferencesReviewsResources

Highest weight categories and strict polynomial functors

Henning Krause

Published 2014-05-07, updated 2015-12-22Version 3

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.

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
Categories: math.RT, math.AC, math.AT
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