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Krein Parameters of Fiber-Commutative Coherent Configurations

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For fiber-commutative coherent configurations, we show that Krein parameters can be defined essentially uniquely. As a consequence, the general Krein condition reduces to positive semidefiniteness of finitely many matrices determined… Click to show full abstract

For fiber-commutative coherent configurations, we show that Krein parameters can be defined essentially uniquely. As a consequence, the general Krein condition reduces to positive semidefiniteness of finitely many matrices determined by the parameters of a coherent configuration. We mention its implications in the coherent configuration defined by a generalized quadrangle. We also simplify the absolute bound using the matrices of Krein parameters.

Keywords: coherent configurations; fiber commutative; commutative coherent; krein parameters; parameters fiber

Journal Title: Algebra Colloquium
Year Published: 2020

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