Let A be an associative algebra with superinvolution ∗ over a field of characteristic zero and let cn∗(A) be its sequence of corresponding ∗-codimensions. In case A is finite dimensional, we prove that such sequence is polynomially bounded if and only if the variety generated by A does not contain three explicitly described algebras with superinvolution. As a consequence we find out that no intermediate growth of the ∗-codimensions between polynomial and exponential is allowed.
Giambruno, A., Ioppolo, A., La Mattina, D. (2016). Varieties of Algebras with Superinvolution of Almost Polynomial Growth. ALGEBRAS AND REPRESENTATION THEORY, 19(3), 599-611 [10.1007/s10468-015-9590-3].
Varieties of Algebras with Superinvolution of Almost Polynomial Growth
Ioppolo A.;
2016
Abstract
Let A be an associative algebra with superinvolution ∗ over a field of characteristic zero and let cn∗(A) be its sequence of corresponding ∗-codimensions. In case A is finite dimensional, we prove that such sequence is polynomially bounded if and only if the variety generated by A does not contain three explicitly described algebras with superinvolution. As a consequence we find out that no intermediate growth of the ∗-codimensions between polynomial and exponential is allowed.
| File | Dimensione | Formato | |
|---|---|---|---|
|
1. GILM-2016-ART.pdf
Solo gestori archivio
Tipologia di allegato:
Submitted Version (Pre-print)
Dimensione
309.18 kB
Formato
Adobe PDF
|
309.18 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
