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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 455, Pages 197–208 (Mi znsl6415)  
Tamaschke's results on Schur rings and a generalization of association schemes

A. Hanaki

Faculty of Science, Shinshu University, Matsumoto, 390-8621, Japan
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Abstract: The concepts of an association scheme and a coherent configuration are generalized by analyzing a relationship between S-rings (Schur rings) and association schemes. In this connection, Tamaschke's results on S-rings and other generalizations of association schemes are discussed.
Key words and phrases: Schur ring, association scheme, coherent configuration.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 2, Pages 248–255
DOI: https://doi.org/10.1007/s10958-018-4000-0
Document Type: Article
UDC: 512.542.7+519.14
Language: English
Citation: A. Hanaki, “Tamaschke's results on Schur rings and a generalization of association schemes”, Problems in the theory of representations of algebras and groups. Part 31, Zap. Nauchn. Sem. POMI, 455, POMI, St. Petersburg, 2017, 197–208; J. Math. Sci. (N. Y.), 234:2 (2018), 248–255
Citation in format AMSBIB
\Bibitem{Han17}
\by A.~Hanaki
\paper Tamaschke's results on Schur rings and a~generalization of association schemes
\inbook Problems in the theory of representations of algebras and groups. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 455
\pages 197--208
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6415}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 2
\pages 248--255
\crossref{https://doi.org/10.1007/s10958-018-4000-0}
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