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Fusion Relation in Products of Association Schemes

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Abstract.

 Fusion relations between the association schemes obtained by direct product and wreath product are established via a study of their matrix representations. The character table of the scheme obtained by the wreath product is described and some algebraic properties of the products are derived.

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Authors and Affiliations

  1. Department of Mathematics, Iowa State University, Ames, IA 50011, USA. e-mail: sysong@iastate.edu, , , , , , US

    Sung Y. Song

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  1. Sung Y. Song
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Received: May 7, 1999 Final version received: September 24, 1999

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ID="*" 1991 Mathematics Subject Classification. Primary 05E30; Secondary 05B99

RID="*"

ID="*" Supported in part by Com 2MaC-KOSEF, POSTECH, Korea

Acknowledgments. The author is indebted to an anonymous referee who provided the complete proof of Theorem 4.2.

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Song, S. Fusion Relation in Products of Association Schemes. Graphs Comb 18, 655–665 (2002). https://doi.org/10.1007/s003730200049

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  • DOI: https://doi.org/10.1007/s003730200049

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