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

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

2011-05-26

arxiv.org/abs/1105.5364v1

Mathematics

Rings and Algebras

5 pages

Scientific paper

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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