Rationality of the Hilbert series of Hopf-invariants of free algebras-Reference-Cited by-同舟云学术

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

Published:2013-12-06 Issue:3 Volume:142 Page:821-826
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ferreira Vitor,Murakami Lucia

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2014-142-03/S0002-9939-2013-11830-7/S0002-9939-2013-11830-7.pdf

Reference15 articles.

1. New Mathematical Monographs;Cohn, P. M.,2006

2. Monographs and Textbooks in Pure and Applied Mathematics;Dăscălescu, Sorin,2001

3. Poincaré series and a problem of S. Montgomery;Dicks, Warren;Linear and Multilinear Algebra,1982

4. Finitely generated constants of free algebras;Ferreira, Vitor O.,2006

5. Finitely generated invariants of Hopf algebras on free associative algebras;Ferreira, Vitor O.;Linear Algebra Appl.,2007

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