On the parameterization of primitive ideals in affine PI algebras
| dc.creator | Letzter, Edward S. | |
| dc.date | 2005-05-26 | |
| dc.date | 2006-03-31 | |
| dc.date.accessioned | 2026-07-07T06:40:03Z | |
| dc.date.available | 2026-07-07T06:40:03Z | |
| dc.description | We consider the following question, concerning associative algebras R over an algebraically closed field k: When can the space of (equivalence classes of) finite dimensional irreducible representations of R be topologically embedded into a classical affine space? We provide an affirmative answer for algebraic quantum groups at roots of unity. More generally, we give an affirmative answer for k-affine maximal orders satisfying a polynomial identity, when k has characteristic zero. Our approach closely follows the foundational studies by Artin and Procesi on finite dimensional representations. Our results also depend on Procesi's later study of Cayley-Hamilton identities. | |
| dc.description | Improved; homeomorphism established for quantum groups at roots of unity. AMS-TeX 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505556 | |
| dc.identifier | http://arxiv.org/abs/math/0505556 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101300 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16R30 | |
| dc.title | On the parameterization of primitive ideals in affine PI algebras | |
| dc.type | text |