On the Brauer-Wielandt-Harada theorem for group-like regular association schemes |
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Institution: | Department of Mathematics, Hyogo University of Teacher Education, 942-1 Shimokume, Kato, Hyogo, 673-1494, Japan |
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Abstract: | We consider a generalization of the Brauer-Wielandt-Harada Theorem to group-like regular association schemes. As an application, we give a necessary condition for commutative association schemes to be regular. Moreover, we derive the number of irreducible characters of multiplicity 1 from the product of all adjacency matrices and all valencies for a commutative regular association scheme. |
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Keywords: | Brauer-Wielandt-Harada theorem Group-like association schemes Regular association schemes |
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