Synchronization over Cartan Motion Groups via Contraction

@article{zyesil2018SynchronizationOC,
  title={Synchronization over Cartan Motion Groups via Contraction},
  author={Onur {\"O}zyesil and Nir Sharon and Amit Singer},
  journal={SIAM J. Appl. Algebra Geom.},
  year={2018},
  volume={2},
  pages={207-241}
}
Group contraction is an algebraic map that relates two classes of Lie groups by a limiting process. We utilize this notion for the compactification of the class of Cartan motion groups. The compactification process is then applied to reduce a non-compact synchronization problem to a problem where the solution can be obtained by means of a unitary, faithful representation. We describe this method of synchronization via contraction in detail and analyze several important aspects of this… Expand
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