NSym into Q_{\infty} is not a Hopf Map

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There is a natural algebra map (in fact, embedding) from the noncommutative symmetric functions NSym to the quadratic algebra Q_{\infty} of pseudoroots of polynomials. In this note, I show that it is not a coalgebra map. Hence, the Hopf algebra structure on NSym can't be extended to this important larger algebra.
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Rings and Algebras, 16W30; 05E05

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http://salesiana.dossiersoluciones.com/handle/123456789/73030

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410591
 http://arxiv.org/abs/math/0410591

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arXiv