Abstract
AbstractThis is a report on recent work of Chałupnik and Touzé. 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.
Subject
Algebra and Number Theory
Reference35 articles.
1. Polynomial Representations of GLn
2. A universal property of the convolution monoidal structure
3. [Tou10] A. Touzé , Bar complexes and extensions of classical exponential functors, Preprint (2010), math.RT/1012.2724v2.
4. Resolutions of unbounded complexes;Spaltenstein;Compositio Math.,1988
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