Koszul, Ringel, and Serre duality for strict polynomial functors

Details Koszul, Ringel, and Serre duality for strict polynomial functors Koszul, Ringel, and Serre duality for strict polynomial functors

2012-03-01

arxiv.org/abs/1203.0311v3

Mathematics

Representation Theory

21 pages. Version 2: Added correct assumptions for Serre duality and included further references. Version 3: Added dedication

Scientific paper

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.

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