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arXiv:1506.01485 [math.RT]AbstractReferencesReviewsResources

Highest weight categories and recollements

Henning Krause

Published 2015-06-04Version 1

We provide several equivalent descriptions of a highest weight category using recollements of abelian categories. The settings for this are abelian length categories and $k$-linear exact categories, where $k$ denotes any commutative base ring. Also, we discuss Ringel duality and establish a precise connection with Serre duality.

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