Finitely generated invariants of Hopf algebras on free associative algebras

Details Finitely generated invariants of Hopf algebras on free associative algebras Finitely generated invariants of Hopf algebras on free associative algebras

2005-11-10

arxiv.org/abs/math/0511264v1

Mathematics

Rings and Algebras

Scientific paper

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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