Singular locally scalar representations of quivers in Hilbert spaces and separating functions

被引:0
作者
I. K. Redchuk
A. V. Roiter
机构
[1] Ukrainian Academy of Sciences,Institute of Mathematics
关键词
Hilbert Space; Broad Class; Similar Role; Scalar Representation; Dynkin Graph;
D O I
10.1007/PL00022183
中图分类号
学科分类号
摘要
We consider locally scalar representations of extended Dynkin graphs in Hilbert spaces. The relation between these representations and the function ρ( n ) = 1 + ( n − 1 ) / ( n + 1 ) is established. We construct a family of separating functions that generalize the function ρ and play a similar role in a broader class of graphs.
引用
收藏
页码:947 / 963
页数:16
相关论文
共 12 条
  • [1] Gabriel P.(1972)Unzerlegbare Darstellungen. I Manuscr. Math. 6 71-103
  • [2] Bernstein I. N.(1973)Coxeter functors, and Gabriel theorem Usp. Mat. Nauk 28 19-33
  • [3] Gel’fand I. M.(1973)Representations of quivers of infinite type Izv. Akad Nauk SSSR, Ser. Mat. 37 752-791
  • [4] Ponomarev V. A.(1980)Some remarks on representations of quivers and infinite root systems Lect. Notes Math. 832 311-332
  • [5] Nazarova L. A.(2002)On sums of projectors Funkts. Anal. Prilozhen. 36 20-35
  • [6] Kac V. G.(2002)The norm of a relation, separation functions, and representations of marked quivers Ukr. Mat. Zh. 54 808-840
  • [7] Kruglyak S. A.(1982)Infinite root systems, representations of graphs and invariant theory. II J. Algebra 78 141-162
  • [8] Rabanovich V. I.(undefined)undefined undefined undefined undefined-undefined
  • [9] Samoilenko Y. S.(undefined)undefined undefined undefined undefined-undefined
  • [10] Nazarova L. A.(undefined)undefined undefined undefined undefined-undefined