Linear Representations and Isospectrality with Boundary Conditions
arXiv:0806.1042 · doi:10.1007/s12220-009-9115-6
Abstract
We present a method for constructing families of isospectral systems, using linear representations of finite groups. We focus on quantum graphs, for which we give a complete treatment. However, the method presented can be applied to other systems such as manifolds and two-dimensional drums. This is demonstrated by reproducing some known isospectral drums, and new examples are obtained as well. In particular, Sunada's method is a special case of the one presented.
Revised in response to referee's report
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