Non-commutative association schemes and their fusion association schemes

摘要

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. (C) 2018 Elsevier Inc. All rights reserved.