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

Authors:
Francesca Benanti, Antonio Giambruno and Irina Sviridova

Journal:
Proc. Amer. Math. Soc. **132** (2004), 669-679

MSC (2000):
Primary 16R10, 16P90

DOI:
https://doi.org/10.1090/S0002-9939-03-07093-X

Published electronically:
August 13, 2003

MathSciNet review:
2019941

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Francesca Benanti**

Affiliation:
Dipartimento di Matematica ed Applicazioni, Università di Palermo, via Archirafi 34, 90123 Palermo, Italy

Email:
fbenanti@math.unipa.it

**Antonio Giambruno**

Affiliation:
Dipartimento di Matematica ed Applicazioni, Università di Palermo, via Archirafi 34, 90123 Palermo, Italy

Email:
a.giambruno@unipa.it

**Irina Sviridova**

Affiliation:
Department of Algebra and Geometric Computations, Faculty of Mathematics and Mechanics, Ulyanovsk State University, Ulyanovsk 4327000, Russia

Email:
sviridova_i@rambler.ru

DOI:
https://doi.org/10.1090/S0002-9939-03-07093-X

Keywords:
Polynomial identities,
multiplicities,
codimensions,
growth

Received by editor(s):
March 22, 2002

Received by editor(s) in revised form:
July 31, 2002, and October 30, 2002

Published electronically:
August 13, 2003

Additional Notes:
The first and the second authors were partially supported by MURST of Italy

The third author was partially supported by the scientific program “The Universities of Russia"

Communicated by:
Martin Lorenz

Article copyright:
© Copyright 2003
American Mathematical Society