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

2011/05/26 by Vitor O. Ferreira, Lucia S. I. Murakami, Ferreira, Vitor O. +1
Mathematics · Physics and Astronomy · #15A72 #16S10 #16T05 #16W22 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA #msc:15A72 #msc:16S10 #msc:16T05 #msc:16W22

paper · pdf · doi:10.48550/arxiv.1105.5364

5 pages

arxiv created 2011/05/26 · openalex publication_date 2011/05/26 · arxiv updated 2011/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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