Arens-Michael enveloping algebras and analytic smash products
| dc.creator | Pirkovskii, A. Yu. | |
| dc.date | 2004-06-17 | |
| dc.date.accessioned | 2026-07-07T05:09:20Z | |
| dc.date.available | 2026-07-07T05:09:20Z | |
| dc.description | Let g be a finite-dimensional complex Lie algebra, and let U(g) be its universal enveloping algebra. We prove that if \hat{U}(g), the Arens-Michael envelope of U(g), is stably flat over U(g) (i.e., if the canonical homomorphism U(g)-->\hat{U}(g) is a localization in the sense of Taylor), then g is solvable. To this end, given a cocommutative Hopf algebra H and an H-module algebra A, we explicitly describe the Arens-Michael envelope of the smash product A#H as an ``analytic smash product'' of their completions w.r.t. certain families of seminorms. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406352 | |
| dc.identifier | http://arxiv.org/abs/math/0406352 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71592 | |
| dc.subject | Functional Analysis | |
| dc.subject | Rings and Algebras | |
| dc.subject | 46M18, 46H05, 16S30, 16S40, 18G25 | |
| dc.title | Arens-Michael enveloping algebras and analytic smash products | |
| dc.type | text |