Realizing Enveloping Algebras via Varieties of Modules
| dc.creator | Ding, Ming | |
| dc.creator | Xiao, Jie | |
| dc.creator | Xu, Fan | |
| dc.date | 2006-04-26 | |
| dc.date | 2009-02-03 | |
| dc.date.accessioned | 2026-07-07T12:37:05Z | |
| dc.date.available | 2026-07-07T12:37:05Z | |
| dc.description | By using the Ringel-Hall algebra approach, we investigate the structure of the Lie algebra $L(Λ)$ generated by indecomposable constructible sets in the varieties of modules for any finite dimensional $\mathbb{C}$-algebra $Λ.$ We obtain a geometric realization of the universal enveloping algebra $R(Λ)$ of $L(Λ).$ This generalizes the main result of Riedtmann in \cite{R}. We also obtain Green's theorem in \cite{G} in a geometric form for any finite dimensional $\mathbb{C}$-algebra $Λ$ and use it to give the comultiplication formula in $R(Λ).$ | |
| dc.identifier | https://arxiv.org/abs/math/0604560 | |
| dc.identifier | http://arxiv.org/abs/math/0604560 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218314 | |
| dc.subject | Quantum Algebra | |
| dc.title | Realizing Enveloping Algebras via Varieties of Modules | |
| dc.type | text |