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The structure of the tensor product of $𝔽_{2} [-]$ with a finite functor between $𝔽_{2}$ -vector spaces

Geoffrey M. L. Powell — 2000

Annales de l'institut Fourier

The paper studies the structure of functors $I \otimes F$ in the category of functors from finite dimensional $𝔽_{2}$ -vector spaces to $𝔽_{2}$ -vector spaces, where $F$ is a finite functor and $I$ is the injective functor $V \mapsto 𝔽_{2}^{V^{*}}$ . A detection theorem is proved for sub-functors of such functors, which is the basis of the proof that the functors $I \otimes F$ are artinian of type one.

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