Derived Kan extension for strict polynomial functors

Details Derived Kan extension for strict polynomial functors Derived Kan extension for strict polynomial functors

2011-06-16

arxiv.org/abs/1106.3362v1

Mathematics

K-Theory and Homology

Scientific paper

We construct and investigate basic properties of adjoint functors to the
precomposition functor in the category of strict polynomial functors. As
applications we get the proof of Touz\'e's conjecture on Ext groups between
teisted functors and we obtain various known Ext--computations in a much
simpler way.

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