Let A be an associative algebra over a field of characteristic zero. A central polynomial is a polynomial of the free associative algebra that takes central values of A. In this survey, we present some recent results about the exponential growth of the central codimension sequence and the proper central codimension sequence in the setting of algebras with involution and algebras graded by a finite group.
Martino, F. (2022). On central polynomials and codimension growth. TURKISH JOURNAL OF MATHEMATICS, 46(5), 1965-1974 [10.55730/1300-0098.3244].
On central polynomials and codimension growth
Martino, F
Primo
2022-06-20
Abstract
Let A be an associative algebra over a field of characteristic zero. A central polynomial is a polynomial of the free associative algebra that takes central values of A. In this survey, we present some recent results about the exponential growth of the central codimension sequence and the proper central codimension sequence in the setting of algebras with involution and algebras graded by a finite group.
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