Dihedral group frames which are maximally robust to erasures

  title={Dihedral group frames which are maximally robust to erasures},
  author={Vignon Oussa},
  journal={Linear and Multilinear Algebra},
  pages={2494 - 2510}
  • V. Oussa
  • Published 9 August 2014
  • Mathematics
  • Linear and Multilinear Algebra
Let be a natural number larger than two. Let be the Dihedral group, and an -dimensional unitary representation of acting in as follows. and for . For any representation which is unitarily equivalent to we prove that when is prime, there exists a Zariski open subset of such that for any vector any subset of cardinality of the orbit of under the action of this representation is a basis for . However, when is even, there is no vector in which satisfies this property. As a result, we derive that if… 

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