Bicharacters, braids and Jacobi identity
| dc.creator | Rozanski, Jerzy | |
| dc.date | 1996-11-22 | |
| dc.date.accessioned | 2026-07-07T09:17:21Z | |
| dc.date.available | 2026-07-07T09:17:21Z | |
| dc.description | For an abelian group G we consider braiding in a category of G-graded modules $M^{kG}$ given by a bicharacter χon G. For $(G,χ)$-bialgebra A in $M^{kG}$ an analog of Lie bracket is defined. This bracket is determined by a linear map $E\in\End(A)$ and n-ary operations $Ω^{n}_{E}$ on A. Our result states that if $E(1)=0,E^{2}=0$ and $Ω^{3}_{E}=0$ then a braided Jacobi identity holds and the linear map E is a braided derivation of a braided Lie algebra. | |
| dc.description | 5 pages in LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/q-alg/9611029 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9611029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153638 | |
| dc.subject | Quantum Algebra | |
| dc.title | Bicharacters, braids and Jacobi identity | |
| dc.type | text |