Rationality of the Hilbert series of Hopf-invariants of free algebras

It is shown that the subalgebra of invariants of a free associative algebra of finite rank under a linear action of a semisimple Hopf algebra has a rational Hilbert series with respect to the usual degree function, whenever the ground field has zero characteristic.

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Veröffentlicht in:	arXiv.org 2011-05
Hauptverfasser:	Ferreira, Vitor O, Murakami, Lucia S I
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Invariants
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creator	Ferreira, Vitor O Murakami, Lucia S I
description	It is shown that the subalgebra of invariants of a free associative algebra of finite rank under a linear action of a semisimple Hopf algebra has a rational Hilbert series with respect to the usual degree function, whenever the ground field has zero characteristic.
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title	Rationality of the Hilbert series of Hopf-invariants of free algebras
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