Email this article On Linear Structure of Non-commutative Operator Graphs
- Authors: Amosov G.G.1, Mokeev A.S.1,2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- St. Petersburg State University
- Issue: Vol 40, No 10 (2019)
- Pages: 1440-1443
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205626
- DOI: https://doi.org/10.1134/S1995080219100032
- ID: 205626
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Abstract
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.
About the authors
G. G. Amosov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: gramos@mi-ras.ru
Russian Federation, Moscow, 119991
A. S. Mokeev
Steklov Mathematical Institute of Russian Academy of Sciences; St. Petersburg State University
Author for correspondence.
Email: aleksandrmokeev@yandex.ru
Russian Federation, Moscow, 119991; St. Petersburg, 199034
