Eigenspaces of symmetric graphs are not typically irreducible Academic Article uri icon

abstract

  • ¬© 2018, Springer Science+Business Media B.V., part of Springer Nature. We construct rich families of Schr√∂dinger operators on symmetric graphs, both quantum and combinatorial, whose spectral degeneracies are persistently larger than the maximal dimension of an irreducible representation of the symmetry group.

altmetric score

  • 1.5

author list (cited authors)

  • Berkolaiko, G., & Liu, W.

citation count

  • 0

publication date

  • January 2018