A duality for polynomial functors Original Research Article

For a prime p, we consider the functors between finite dimensional imagep-vector spaces which are polynomial of degree less than a given integer d + 1. We study the extension groups with the identity functor, I, in the category of those functors. For any such functor F, there is a perfect pairing image with N = 2p[logpd] − 2. As a consequence, the minimal projective resolution of I among functors of degree less than d + 1 has finite length N.