NSym into Q_{\infty} is not a Hopf Map
| dc.creator | Lauve, Aaron | |
| dc.date | 2004-10-28 | |
| dc.date | 2004-11-10 | |
| dc.date.accessioned | 2026-07-07T05:13:45Z | |
| dc.date.available | 2026-07-07T05:13:45Z | |
| dc.description | 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. | |
| dc.description | references added, some revisions | |
| dc.identifier | https://arxiv.org/abs/math/0410591 | |
| dc.identifier | http://arxiv.org/abs/math/0410591 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73030 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30; 05E05 | |
| dc.title | NSym into Q_{\infty} is not a Hopf Map | |
| dc.type | text |