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.References
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Additional Information
- Vitor O. Ferreira
- Affiliation: Department of Mathematics, Institute of Mathematics and Statistics, University of São Paulo, Caixa Postal 66281, São Paulo - SP, 05314-970, Brazil
- Email: vofer@ime.usp.br
- Lucia S. I. Murakami
- Affiliation: Department of Mathematics, Institute of Mathematics and Statistics, University of São Paulo, Caixa Postal 66281, São Paulo - SP, 05314-970, Brazil
- Email: ikemoto@ime.usp.br
- Received by editor(s): May 26, 2011
- Received by editor(s) in revised form: April 13, 2012
- Published electronically: December 6, 2013
- Additional Notes: The first author was partially supported by CNPq (Grant 308163/2007-9) and by FAPESP (Projeto Temático 2009/52665-0).
The second author was partially supported by FAPESP (Projeto Temático 2010/50347-9). - Communicated by: Harm Derksen
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 821-826
- MSC (2010): Primary 16S10, 16T05, 16W22, 15A72
- DOI: https://doi.org/10.1090/S0002-9939-2013-11830-7
- MathSciNet review: 3148516