Poincaré duality for Ext–groups between strict polynomial functors

Author:

Chałupnik Marcin

Abstract

We study the relation between left and right adjoint functors to the precomposition functor. As a consequence, we obtain various dualities for the Ext–groups in the category of strict polynomial functors.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

1. Extensions of strict polynomial functors;Chałupnik, Marcin;Ann. Sci. \'{E}cole Norm. Sup. (4),2005

2. Koszul duality and extensions of exponential functors;Chałupnik, Marcin;Adv. Math.,2008

3. Extensions of Weyl and Schur functors;Chałupnik, Marcin;Homology Homotopy Appl.,2009

4. [C4] M. Chałupnik, Derived Kan extension for strict polynomial functors, to appear in Int. Math. Research Notices.

5. Cohomology of bifunctors;Franjou, Vincent;Proc. Lond. Math. Soc. (3),2008

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