# PI-Algebras with slow codimension growth

Antonino Giambruno, Daniela La Mattina, Daniela La Mattina, Giambruno

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

## Abstract

Let $c_n(A),\ n=1,2,\ldots,$ be thesequence of codimensions of an algebra $A$ over a field $F$ ofcharacteristic zero. We classify the algebras $A$ (up toPI-equivalence) in case this sequence is bounded by a linearfunction. We also show that this property is closely related tothe following: if $l_n(A), \ n=1,2,\ldots,$ denotes the sequenceof colengths of $A$, counting the number of $S_n$-irreduciblesappearing in the $n$-th cocharacter of $A$, then $\lim_{n\to\infty} l_n(A)$ exists and is bounded by $2$.
Original language English 371-391. 21 Journal of Algebra 284 Published - 2005

## All Science Journal Classification (ASJC) codes

• Algebra and Number Theory

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