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

Ferreira, Vitor; Murakami, Lucia

doi:10.1090/S0002-9939-2013-11830-7

Rationality of the Hilbert series of Hopf-invariants of free algebras
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by Vitor O. Ferreira and Lucia S. I. Murakami PDF

Proc. Amer. Math. Soc. 142 (2014), 821-826 Request permission

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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