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arXiv · 1105.5364

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

Vitor O. Ferreira·Lucia S. I. Murakami
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Abstract

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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Vitor O. Ferreira, Lucia S. I. Murakami. 2011-05-26. Rationality of the Hilbert series of Hopf-invariants of free algebras. https://arxiv.org/abs/1105.5364

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