Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Roiter, A. V."'
As it is known, finitely presented quivers correspond to Dynkin graphs (Gabriel, 1972) and tame quivers -- to extended Dynkin graphs (Donovan and Freislich, Nazarova, 1973). In the article "Locally scalar reresentations of graphs in the category of H
Externí odkaz:
http://arxiv.org/abs/0901.2296
Publikováno v:
Ukrainian Math. J. 46 (no. 5) (1994) 567-579
By [R. Bautista, P. Gabriel, A.V Roiter., L. Salmeron, Representation-finite algebras and multiplicative basis. Invent. Math. 81 (1985) 217-285.], a finite-dimensional algebra having finitely many isoclasses of indecomposable representations admits a
Externí odkaz:
http://arxiv.org/abs/0709.2455
One can regard the category of represenations of quivers in Hilbert spaces as a subcategory in the category of all representations, and at that objects, which are indecomposable in the subcategory, become in general decomposable in the ``larger'' cat
Externí odkaz:
http://arxiv.org/abs/math/0611385
We classify regular locally scalar (= orthoscalar) representations of graph $\widetilde{D}_4$ in Hilbert spaces
Externí odkaz:
http://arxiv.org/abs/math/0610931
We consider matrix problems in Hilbert spaces (orthoscalar representations of quivers and posets). A criterion of tameness of the problem of classification of indecomposable orthoscalar representations of a quiver is given.
Externí odkaz:
http://arxiv.org/abs/math/0605728
Antimonotonous quadratic forms generalizing P-faithful posets defined by authors earlier are introduced. The criterion of antimonotonousness is given for posets with positive semidefinite quadratic forms. As consequence the new proofs of the criterio
Externí odkaz:
http://arxiv.org/abs/math/0501374
Autor:
Redchuk, I. K., Roiter, A. V.
A numeric function $\rho$: $\rho(k)=1+\frac{k-1}{k+1}, k \in N$ 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 ex
Externí odkaz:
http://arxiv.org/abs/math/0307166
Autor:
Kruglyak, S. A., Roiter, A. V.
In this paper authors consider representations of graphs in Hilbert spaces applying a restriction of local scalarity on them. It enables to obtain a theory, similar to the classical theory of representations of graphs in vector spaces. In particular,
Externí odkaz:
http://arxiv.org/abs/math/0307163
Autor:
Nazarova, L. A., Roiter, A. V.
Numerical functions, which characterize Dynkin schemes, Coxeter graphs and tame marked quivers, are considered.
Comment: 32 pages, 59 figures
Comment: 32 pages, 59 figures
Externí odkaz:
http://arxiv.org/abs/math/0206052
Autor:
Roiter, A. V.
Publikováno v:
Publ. House Beijing Normal Univ. - 2001, Vol. 2, P. 417-423.
We introduce a generalization of representations of quivers that contains also representations of posets, vectorspace problems and other matrix problems. Many examples, some of which are given in the paper, show that the language of marked quivers is
Externí odkaz:
http://arxiv.org/abs/math/0112158