Clifford type theorems for association schemes and their algebraic fusions. (English) Zbl 1258.05129
Summary: We investigate the relationship between complex characters of association schemes and their fusion schemes. We first prove Frobenius reciprocity between the irreducible representations of finite schemes and their fusion schemes, and add a formula on multiplicities. After that, we provide Clifford type theorems for association schemes and their algebraic fusions.
MSC:
| 05E30 | Association schemes, strongly regular graphs |
Keywords:
association scheme; character; fusion scheme; Frobenius reciprocity; Clifford type theoremsReferences:
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