Eigenspaces of symmetric graphs are not typically irreducible Academic Article

abstract

• 2018, Springer Science+Business Media B.V., part of Springer Nature. We construct rich families of Schrdinger 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.

authors

• Berkolaiko, Gregory

published proceedings

• LETTERS IN MATHEMATICAL PHYSICS

altmetric score

• 1.5

author list (cited authors)

• Berkolaiko, G., & Liu, W.

citation count

• 1

complete list of authors

• Berkolaiko, Gregory||Liu, Wen

publication date

• January 2018

publisher

• Springer Nature  Publisher

published in

• Letters in Mathematical Physics  Journal

keywords

• Combinatorial Laplacian
• Degenerate Eigenvalues
• Graph Spectra
• Irreducible Representations
• Metric Graphs

Digital Object Identifier (DOI)

• 10.1007/s11005-018-1050-7

start page

• 1825

end page

• 1835

volume

• 108

issue

• 8

URL

• http://dx.doi.org/10.1007/s11005-018-1050-7