Non-commutative association schemes and their fusion association schemes
Copyright policy )Non-commutative association schemes and their fusion association schemes
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.
14 pages
- University of Lethbridge Canada
- Aichi University of Education Japan
generalized Hadamard matrix, fusion scheme, balanced generalized weighing matrix, Other designs, configurations, FOS: Mathematics, Association schemes, strongly regular graphs, Mathematics - Combinatorics, non-commutative association scheme, Combinatorics (math.CO), Combinatorial aspects of matrices (incidence, Hadamard, etc.)
generalized Hadamard matrix, fusion scheme, balanced generalized weighing matrix, Other designs, configurations, FOS: Mathematics, Association schemes, strongly regular graphs, Mathematics - Combinatorics, non-commutative association scheme, Combinatorics (math.CO), Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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