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math.RA2011
Rationality of the Hilbert series of Hopf-invariants of free algebras
Vitor O. Ferreira, Lucia S. I. Murakami
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 res…
math.RA2008
On free associative algebras linearly graded by finite groups
Vitor O. Ferreira, Lucia S. I. Murakami
As an instance of a linear action of a Hopf algebra on a free associative algebra, we consider finite group gradings of a free algebra induced by gradings on the space spanned by t…
math.RA2005
Finitely generated invariants of Hopf algebras on free associative algebras
Vitor O. Ferreira, Lucia S. I. Murakami
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 eleme…