Proof of the GGS Conjecture
| dc.creator | Schedler, Travis | |
| dc.date | 2000-09-19 | |
| dc.date | 2000-12-08 | |
| dc.date.accessioned | 2026-07-07T04:37:36Z | |
| dc.date.available | 2026-07-07T04:37:36Z | |
| dc.description | We prove the GGS conjecture (1993), due to Gerstenhaber, Giaquinto, and Schack, which gives a particularly simple explicit quantization of classical r-matrices for Lie algebras gl(n) in terms of an element R satisfying the quantum Yang-Baxter equation and the Hecke condition. The r-matrices were classified by Belavin and Drinfeld in the 1980s in terms of combinatorial objects known as Belavin-Drinfeld triples. We prove this conjecture by showing that the GGS matrix coincides with another quantization due to Etingof, Schiffmann, and the author, which is a more general construction. We do this by explicitly expanding the product from the aforementioned paper using detailed combinatorial analysis in terms of Belavin-Drinfeld triples. | |
| dc.description | AMSLaTeX; uses mrlart2e.cls (included-- MRL's document class, based on amsart) | |
| dc.identifier | https://arxiv.org/abs/math/0009173 | |
| dc.identifier | http://arxiv.org/abs/math/0009173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59960 | |
| dc.subject | Quantum Algebra | |
| dc.title | Proof of the GGS Conjecture | |
| dc.type | text |