Automorphisms of Regular Algebras
| dc.creator | Popov, Todor | |
| dc.date | 2006-01-11 | |
| dc.date.accessioned | 2026-07-07T06:58:49Z | |
| dc.date.available | 2026-07-07T06:58:49Z | |
| dc.description | Manin associated to a quadratic algebra (quantum space) the quantum matrix group of its automorphisms. This Talk aims to demonstrate that Manin's construction can be extended for quantum spaces which are non-quadratic homogeneous algebras. Here given a regular Artin-Schelter algebra of dimension 3 we construct the quantum group of its symmetries, i.e., the Hopf algebra of its automorphisms. For quadratic Artin-Schelter algebras these quantum groups are contained in the the classification of the GL(3) quantum matrix groups due to Ewen and Ogievetsky. For cubic Artin-Schelter algebras we obtain new quantum groups which are automorphisms of cubic quantum spaces. | |
| dc.description | 8 pages, based on a talk at the International Workshop "Lie Theory and Its Applications in Physics VI" Varna, 2005 | |
| dc.identifier | https://arxiv.org/abs/math/0601264 | |
| dc.identifier | http://arxiv.org/abs/math/0601264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107509 | |
| dc.subject | Quantum Algebra | |
| dc.title | Automorphisms of Regular Algebras | |
| dc.type | text |