Let A be an associative algebra with involution ∗ over a field F of characteristic zero. One associates to A, in a natural way, a numerical sequence cn∗(A), n = 1, 2, …, called the sequence of ∗-codimensions of A which is the main tool for the quantitative investigation of the polynomial identities satisfied by A. In this paper we focus our attention on cn∗(A), n = 1, 2, …, by presenting some recent results about it.
La Mattina D. (2021). On Codimensions of Algebras with Involution. In O.M. Di Vincenzo, A. Giambruno (a cura di), Polynomial Identities in Algebras (pp. 269-278). Springer-Verlag Italia s.r.l. [10.1007/978-3-030-63111-6_13].
On Codimensions of Algebras with Involution
La Mattina D.
2021-01-01
Abstract
Let A be an associative algebra with involution ∗ over a field F of characteristic zero. One associates to A, in a natural way, a numerical sequence cn∗(A), n = 1, 2, …, called the sequence of ∗-codimensions of A which is the main tool for the quantitative investigation of the polynomial identities satisfied by A. In this paper we focus our attention on cn∗(A), n = 1, 2, …, by presenting some recent results about it.
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