Non-commutative association schemes and their fusion association schemes

2017/06/20 by Kharaghani, Hadi, Suda, Sho
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.06281

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.

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