Singular locally-scalar representations of quivers in Hilbert spaces and separating functions
| dc.creator | Redchuk, I. K. | |
| dc.creator | Roiter, A. V. | |
| dc.date | 2003-07-11 | |
| dc.date | 2003-09-07 | |
| dc.date.accessioned | 2026-07-07T04:59:37Z | |
| dc.date.available | 2026-07-07T04:59:37Z | |
| dc.description | A numeric function $ρ$: $ρ(k)=1+\frac{k-1}{k+1}, k \in N$ was considered in [1]. In its terms criterions of finite representability and tameness of marked quivers, posets with equivalence and dyadic posets can be obtained; Dynkin schemes and extended schemes also can be characterized. In this paper authors consider the connection of function $ρ$ with locally-scalar representations [2] of extended Dynkin graphs. Then a family of functions $ρ_n$ is defined -- a generalization of function $ρ$, which plays an analogous part for more wide class of graphs. Also some properties of functions $ρ$ and $ρ_k$ are proved. References [1] L.A. Nazarova, A.V. Roiter. {\it Norm of a relation, separating functions and representations of marked quivers.} Ukr. Math. Jour., 54(2002), No.6, p.808-840. [2] S.A. Kruglyak, A.V. Roiter. {\it Locally-scalar representations of graphs in the category of Hilbert spaces.} Prepr. Ukr. Math. Jour. (2003). | |
| dc.description | 14 pages. Report: International Conference on Algebras, Modules and Rings, Lisbon 2003 (by I. Redchuk) | |
| dc.identifier | https://arxiv.org/abs/math/0307166 | |
| dc.identifier | http://arxiv.org/abs/math/0307166 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68056 | |
| dc.subject | Representation Theory | |
| dc.subject | Combinatorics | |
| dc.title | Singular locally-scalar representations of quivers in Hilbert spaces and separating functions | |
| dc.type | text |