Finitely generated invariants of Hopf algebras on free associative algebras
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...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.math/0511264 |