Let A be an associative algebra with superinvolution ∗ over a field of characteristic zero and let c_n∗(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.
|Numero di pagine||13|
|Rivista||Algebras and Representation Theory|
|Stato di pubblicazione||Published - 2016|
All Science Journal Classification (ASJC) codes