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On cubic functors

Yuriy Drozd
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Abstract

We prove that the description of cubic functors is a wild problem in the sense of the representation theory. On the contrary, we describe several special classes of such functors (2-divisible, weakly alternative, vector spaces and torsion free ones). We also prove that cubic functors can be defined locally and obtain corollaries about their projective dimensions and torsion free parts.

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Yuriy Drozd. 2002-02-17. On cubic functors. https://arxiv.org/abs/math/0202157

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