On the codimension growth of almost nilpotent Lie algebras

Du\v{s}an Repov\v{s}; Mikhail Zaicev

arxiv: 1602.02940 · v1 · pith:LYZYIMLZnew · submitted 2016-02-09 · 🧮 math.RA

On the codimension growth of almost nilpotent Lie algebras

Du\v{s}an Repov\v{s} , Mikhail Zaicev This is my paper

classification 🧮 math.RA

keywords algebraalgebrascodimensiondimensionalgrowthnilpotentalmostcharacteristic

0 comments

read the original abstract

We study codimension growth of infinite dimensional Lie algebras over a field of characteristic zero. We prove that if a Lie algebra $L$ is an extension of a nilpotent algebra by a finite dimensional semisimple algebra then the PI-exponent of $L$ exists and is a positive integer.

This paper has not been read by Pith yet.

On the codimension growth of almost nilpotent Lie algebras

discussion (0)