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math.QA2021★ 10 cited
Some examples of quantum graphs
Daniel Gromada
We summarize different approaches to the theory of quantum graphs and provide several ways to construct concrete examples. First, we classify all undirected quantum graphs on the q…
math.QA2021★ 2 cited
Presentations of projective quantum groups
Daniel Gromada
Given an orthogonal compact matrix quantum group defined by intertwiner relations, we characterize by relations its projective version. As a sample application, we prove that $PU_n…
math.QA2021★ 7 cited
Quantum symmetries of Cayley graphs of abelian groups
Daniel Gromada
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. A…