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Finitely generated invariants of Hopf algebras on free associative algebras

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 Added by Vitor Ferreira
 Publication date 2005
  fields
and research's language is English




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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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