Planar Shuffle Product, Co-Addition and the non-associative Exponential
| dc.creator | Gerritzen, Lothar | |
| dc.date | 2005-02-17 | |
| dc.date.accessioned | 2026-07-07T05:17:06Z | |
| dc.date.available | 2026-07-07T05:17:06Z | |
| dc.description | In this note we introduce the concept of a shuffle product $\sq$ for planar tree polynomials and give a formula to compute the planar shuffle product $S \ \sq T$ of two finite planar reduced rooted trees $S, T.$ It is shown that $\sq$ is dual to the co-addition $Δ$ which leads to a formula for the coefficients of $Δ(f).$ It is also proved that $Δ(EXP) = EXP {\hat \otimes} EXP$ where $EXP$ is the generic planar tree exponential series, see [G]. Systems of quadratic relations for the coefficients of EXP are derived. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502378 | |
| dc.identifier | http://arxiv.org/abs/math/0502378 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74232 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17A50 | |
| dc.title | Planar Shuffle Product, Co-Addition and the non-associative Exponential | |
| dc.type | text |