Asymptotics for the multiplicities in the cocharacters of some PI-algebras

Benanti, Francesca; Giambruno, Antonio; Sviridova, Irina

doi:10.1090/S0002-9939-03-07093-X

Asymptotics for the multiplicities in the cocharacters of some PI-algebras
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by Francesca Benanti, Antonio Giambruno and Irina Sviridova PDF

Proc. Amer. Math. Soc. 132 (2004), 669-679 Request permission

Abstract:

We consider associative PI-algebras over a field of characteristic zero. We study the asymptotic behavior of the sequence of multiplicities of the cocharacters for some significant classes of algebras. We also give a characterization of finitely generated algebras for which this behavior is linear or quadratic.

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