On cubic functors

Details On cubic functors On cubic functors

2002-02-17

arxiv.org/abs/math/0202157v1

Comm. Algebra, 173 (2003) 1147-1173

Mathematics

Representation Theory

24 pages

Scientific paper

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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