On Cubic Functors
Copyright policy )On Cubic Functors
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.
24 pages
16D70, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Representation Theory (math.RT), Mathematics - Representation Theory, 55U99, 16D70; 55U99
16D70, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Representation Theory (math.RT), Mathematics - Representation Theory, 55U99, 16D70; 55U99
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