On linear structure of non-commutative operator graphs
Quantum Physics
2019-08-19 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1906.10092,
title = {On linear structure of non-commutative operator graphs},
author = {G. G. Amosov and A. S. Mokeev},
journal= {arXiv preprint arXiv:1906.10092},
year = {2019}
}
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6 pages