On configurations of subspaces of a Hilbert space with fixed angles between them

被引：0

作者：

M. A. Vlasenko

N. D. Popova

机构：

[1] Ukrainian Academy of Sciences,Institute of Mathematics

来源：

Ukrainian Mathematical Journal | 2004年 / 56卷 / 5期

关键词：

Hilbert Space; Irreducible Representation; Representation Type; Tame Representation Type; Irreducible Configuration;

D O I：

10.1007/PL00022176

中图分类号：

学科分类号：

摘要：

We investigate the set of irreducible configurations of subspaces of a Hilbert space for which the angle between every two subspaces is fixed. This is the problem of *-representations of certain algebras generated by idempotents and depending on parameters (on the set of angles). We separate the class of problems of finite and tame representation type. For these problems, we indicate conditions on angles under which the configurations of subspaces exist and describe all irreducible representations.

引用

页码：730 / 740

页数：10

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