6533b824fe1ef96bd127fea9

RESEARCH PRODUCT

Central Polynomials of Algebras and Their Growth

Mikhail ZaicevAntonio Giambruno

subject

PolynomialPure mathematicsExponential growthCodimensionAlgebra over a fieldMeasure (mathematics)Noncommutative geometryMathematics

description

A polynomial in noncommutative variables taking central values in an algebra A is called a central polynomial of A. For instance the algebra of k × k matrices has central polynomials. For general algebras the existence of central polynomials is not granted. Nevertheless if an algebra has such polynomials, how can one measure how many are there?

https://doi.org/10.1007/978-3-030-63111-6_10