English

Non-commutative association schemes and their fusion association schemes

Combinatorics 2018-04-10 v2

Abstract

We give a sufficient condition for a non-commutative association scheme to have a fusion association scheme, and construct non-commutative association schemes from symmetric balanced generalized weighing matrices and generalized Hadamard matrices. We then apply the criterion to these non-commutative association schemes to obtain symmetric fusion association schemes.

Keywords

Cite

@article{arxiv.1706.06281,
  title  = {Non-commutative association schemes and their fusion association schemes},
  author = {Hadi Kharaghani and Sho Suda},
  journal= {arXiv preprint arXiv:1706.06281},
  year   = {2018}
}

Comments

14 pages