Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603612 | Linear Algebra and its Applications | 2007 | 9 Pages |
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.
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