Koszul, Ringel and Serre duality for strict polynomial functors
Koszul, Ringel and Serre duality for strict polynomial functors
复制标题
严格多项式函子的 Koszul、Ringel 和 Serre 对偶性
作者：
H. Krause
摘要本文是关于Chaeupnik和Touzé最近工作的报告。我们解释了严格多项式函子范畴的Koszul对偶性，并明确了似乎具有独立兴趣的潜在monoidal结构。然后，我们连接到林格尔对偶Schur代数和描述Serre对偶严格多项式函子。
Abstract This 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.