NSym into Q_{\infty} is not a Hopf Map
环与代数
2007-05-23 v2
摘要
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.
关键词
引用
@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}
}
备注
references added, some revisions