Noncommutative symmetric functions and W-polynomials
| dc.creator | Delenclos, J. | |
| dc.creator | Leroy, A. | |
| dc.date | 2006-06-24 | |
| dc.date.accessioned | 2026-07-07T07:17:39Z | |
| dc.date.available | 2026-07-07T07:17:39Z | |
| dc.description | Let K,S,D be a division ring, an endomorphism and a S-derivation of K, respectively. In this setting we introduce generalized noncommutative symmetric functions and obtain Vieta formula and decompositions of differential operators. W-polynomials show up naturally, their connections with P-independency, Vandermonde and Wronskian matrices are briefly studied. The different linear factorizations of W-polynomials are analysed. Connections between the existence of LLCM of monic linear polynomials with coefficients in a ring and the left duo property are established at the end of the paper. | |
| dc.identifier | https://arxiv.org/abs/math/0606614 | |
| dc.identifier | http://arxiv.org/abs/math/0606614 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114015 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S36 | |
| dc.title | Noncommutative symmetric functions and W-polynomials | |
| dc.type | text |