The Gelfand map and symmetric products
| dc.creator | Buchstaber, V. M. | |
| dc.creator | Rees, E. G. | |
| dc.date | 2001-09-18 | |
| dc.date.accessioned | 2026-07-07T04:43:26Z | |
| dc.date.available | 2026-07-07T04:43:26Z | |
| dc.description | If A is an algebra of functions on X, there are many cases when X can be regarded as included in Hom(A,C) as the set of ring homomorphisms. In this paper the corresponding results for the symmetric products of X are introduced. It is shown that the symmetric product Sym^n(X) is included in Hom(A,C) as the set of those functions that satisfy equations generalising f(xy)=f(x)f(y). These equations are related to formulae introduced by Frobenius and, for the relevant A, they characterise linear maps on A that are the sum of ring homomorphisms. The main theorem is proved using an identity satisfied by partitions of finite sets. | |
| dc.description | 14 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0109122 | |
| dc.identifier | http://arxiv.org/abs/math/0109122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62219 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Functional Analysis | |
| dc.subject | 05A18;46E25;14A05 | |
| dc.title | The Gelfand map and symmetric products | |
| dc.type | text |