The number of harmonic frames of prime order
Rings and Algebras
2012-09-04 v1 Classical Analysis and ODEs
Combinatorics
Abstract
Harmonic frames of prime order are investigated. The primary focus is the enumeration of inequivalent harmonic frames, with the exact number given by a recursive formula. The key to this result is a one-to-one correspondence developed between inequivalent harmonic frames and the orbits of a particular set. Secondarily, the symmetry group of prime order harmonic frames is shown to contain a subgroup consisting of a diagonal matrix as well as a permutation matrix, each of which is dependent on the particular harmonic frame in question.
Keywords
Cite
@article{arxiv.1209.0153,
title = {The number of harmonic frames of prime order},
author = {Matthew J. Hirn},
journal= {arXiv preprint arXiv:1209.0153},
year = {2012}
}
Comments
26 pages