Equi-isoclinic subspaces from symmetry
<|reference_start|>Equi-isoclinic subspaces from symmetry: We describe a flexible technique that constructs tight fusion frames with prescribed transitive symmetry. Applying this technique with representations of the symmetric and alternating groups, we obtain several new infinite families of equi-isoclinic tight fusion frames, each with the remarkable property that its automorphism group is either $S_n$ or $A_n$. These ensembles are optimal packings for Grassmannian space equipped with spectral distance, and as such, they find applications in block compressed sensing.<|reference_end|>
@article{fickus2024equi-isoclinic,
    title={Equi-isoclinic subspaces from symmetry},
    author={Matthew Fickus, Joseph W. Iverson, John Jasper, Dustin G. Mixon},
    journal={arXiv preprint arXiv:2406.19542},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.19542},
    primaryClass={math.CO cs.IT math.FA math.GR math.IT}
}