阿贝尔群的Cayley图的量子对称性

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2023-09-01 DOI:10.1017/s0017089523000198

Daniel Gromada

引用次数: 8

摘要

摘要从量子对称的角度研究了阿贝尔群的Cayley图。我们发展了确定此类图的量子自同构群的一般策略。应用这一过程，我们发现了半立方图、折叠立方图和汉明图的量子对称性。

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Quantum symmetries of Cayley graphs of abelian groups

Abstract We study Cayley graphs of abelian groups from the perspective of quantum symmetries. We develop a general strategy for determining the quantum automorphism groups of such graphs. Applying this procedure, we find the quantum symmetries of the halved cube graph, the folded cube graph, and the Hamming graphs.

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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.