Asymptotics for multiplicities in the cocharacters of some PI-algebras
- Authors: BENANTI, F; GIAMBRUNO, A; SVIRIDOVA, I
- Publication year: 2004
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/4086
Abstract
We consider associative PI-algebras over a eld of characteristic zero. We study the asymptotic behavior of the sequence of multiplicities of the cocharacters for some signi cant classes of algebras. We also give a characterization of nitely generated algebras for which this behavior is linear or quadratic.