Prime ideals invariant under winding automorphisms in quantum matrices
| dc.creator | Goodearl, K. R. | |
| dc.creator | Lenagan, T. H. | |
| dc.date | 2001-10-05 | |
| dc.date.accessioned | 2026-07-07T04:43:41Z | |
| dc.date.available | 2026-07-07T04:43:41Z | |
| dc.description | The main goal of the paper is to establish the existence of tensor product decompositions for those prime ideals P of the generic algebra A of quantum n by n matrices which are invariant under winding automorphisms of A. More specifically, every such P is the kernel of a map from A to (A^+/P^+) tensor (A^-/P^-) obtained by composing comultiplication, localization, and quotient maps, where A^+ and A^- are special localized quotients of A while P^+ and P^- are prime ideals invariant under winding automorphisms. Further, the algebras A^+ and A^-, which vary with P, can be chosen so that the correspondence sending (P^+,P^-) to P is a bijection. The main theorem is applied, in a sequel to this paper, to completely determine the winding-invariant prime ideals in the generic quantum 3 by 3 matrix algebra. | |
| dc.description | 36 pages. See also http://www.math.ucsb.edu/~goodearl/preprints.html/ | |
| dc.identifier | https://arxiv.org/abs/math/0110072 | |
| dc.identifier | http://arxiv.org/abs/math/0110072 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62335 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W35; 20G42 | |
| dc.title | Prime ideals invariant under winding automorphisms in quantum matrices | |
| dc.type | text |