Article ID Journal Published Year Pages File Type
4603612 Linear Algebra and its Applications 2007 9 Pages PDF
Abstract

We show that the invariants of a free associative algebra of finite rank under a linear action of a finite-dimensional Hopf algebra generated by group-like and skew-primitive elements form a finitely generated algebra exactly when the action is scalar. This generalizes an analogous result for group actions by automorphisms obtained by Dicks and Formanek, and Kharchenko.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory