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arXiv:1203.0311 [math.RT]AbstractReferencesReviewsResources

Koszul, Ringel, and Serre duality for strict polynomial functors

Henning Krause

Published 2012-03-01, updated 2012-09-11Version 4

This is a report on recent work of Chalupnik and Touze. We explain the Koszul duality for the category of strict polynomial functors and make explicit the underlying monoidal structure which seems to be of independent interest. Then we connect this to Ringel duality for Schur algebras and describe Serre duality for strict polynomial functors.

Comments: 23 pages. Version 2: Added correct assumptions for Serre duality and included further references. Version 3: Added dedication and made minor simplifications and corrections. Version 4: Final version (slightly updated) accepted for publication in Compositio Mathematica
Categories: math.RT, math.AT, math.CT
Subjects: 20G05, 18D10, 18E30, 18G10, 20G10, 20G43
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