On Linear Structure of Non-commutative Operator Graphs
- 作者: Amosov G.1, Mokeev A.1,2
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隶属关系:
- Steklov Mathematical Institute of Russian Academy of Sciences
- St. Petersburg State University
- 期: 卷 40, 编号 10 (2019)
- 页面: 1440-1443
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205626
- DOI: https://doi.org/10.1134/S1995080219100032
- ID: 205626
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详细
We continue the study of non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary actions of the circle group and the Heisenber-Weyl group as well. It is shown that the graphs generated by the circle group has the system of unitary generators fulfilling permutations of basis vectors. For the graph generated by the Heisenberg-Weyl group the explicit formula for a dimension is given. Thus, we found a new description of the linear structure for the operator graphs introduced in our previous works.
作者简介
G. Amosov
Steklov Mathematical Institute of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: gramos@mi-ras.ru
俄罗斯联邦, Moscow, 119991
A. Mokeev
Steklov Mathematical Institute of Russian Academy of Sciences; St. Petersburg State University
编辑信件的主要联系方式.
Email: aleksandrmokeev@yandex.ru
俄罗斯联邦, Moscow, 119991; St. Petersburg, 199034