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.
BENANTI, F., GIAMBRUNO, A., SVIRIDOVA, I. (2004). Asymptotics for multiplicities in the cocharacters of some PI-algebras. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 132, 669-679.
Asymptotics for multiplicities in the cocharacters of some PI-algebras
BENANTI, Francesca Saviella;GIAMBRUNO, Antonino;SVIRIDOVA, Irina
2004-01-01
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.
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