English

On cubic functors

Representation Theory 2007-05-23 v1 Algebraic Topology

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.

Cite

@article{arxiv.math/0202157,
  title  = {On cubic functors},
  author = {Yuriy Drozd},
  journal= {arXiv preprint arXiv:math/0202157},
  year   = {2007}
}

Comments

24 pages