NSym into Q_{\infty} is not a Hopf Map
Rings and Algebras
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0410591,
title = {NSym into Q_{\infty} is not a Hopf Map},
author = {Aaron Lauve},
journal= {arXiv preprint arXiv:math/0410591},
year = {2007}
}
Comments
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