State symmetries in matrices and vectors on finite state spaces
| dc.creator | Ring, Arne | |
| dc.date | 2004-09-15 | |
| dc.date.accessioned | 2026-07-07T05:12:10Z | |
| dc.date.available | 2026-07-07T05:12:10Z | |
| dc.description | State symmetries are defined as permutations which act on vector spaces of column vectors and square matrices, resulting in isotropy groups for specific vector spaces. A large number of properties for such objects is shown, to provide a rigorous basis for future applications. The main statement characterises the state symmetry of vector sequences $(v^{(i)})$ which are generated by powers of a generator matrix $M$: $v^{(i)}= M^i v^{(0)}$. A section of examples illustrates some applications of the theory. | |
| dc.description | 35 pages, including a large number of examples | |
| dc.identifier | https://arxiv.org/abs/math/0409264 | |
| dc.identifier | http://arxiv.org/abs/math/0409264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72485 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 05E20; 15A03; 20G20 | |
| dc.title | State symmetries in matrices and vectors on finite state spaces | |
| dc.type | text |