2002/02/17 by Yuriy Drozd
Mathematics · #math.RT #math.AT #msc:16D70 #msc:55U99
published as Comm. Algebra, 173 (2003) 1147-1173 · 24 pages
arxiv created 2002/02/17 · arxiv updated 2009/11/30
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.