Eigenspaces of symmetric graphs are not typically irreducible
Spectral Theory
2018-02-14 v2 Mathematical Physics
math.MP
Abstract
We construct rich families of Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1705.01653,
title = {Eigenspaces of symmetric graphs are not typically irreducible},
author = {Gregory Berkolaiko and Wen Liu},
journal= {arXiv preprint arXiv:1705.01653},
year = {2018}
}
Comments
10 pages, 7 figures