Eigenspaces of symmetric graphs are not typically irreducible

Abstract

We construct rich families of Schrödinger operators on symmetric graphs, both quantum and combinatorial, whose spectral degeneracies are persistently larger than the maximal dimension of an irreducible representations of the symmetry group.

10 pages, 7 figures

References in corpus (3)

• The Isospectral Fruits of Representation Theory: Quantum Graphs and Drums
• Topological Resonances in Scattering on Networks (Graphs)
• Relating Zeta Functions of Discrete and Quantum Graphs

Cited by in corpus (2)

• Dynamical processes on metric networks
• Generic spectrum of the weighted Laplacian operator on Cayley graphs