Abstract
We will give an equation on Frame numbers, splitting fields, and integral adjacency algebras of commutative association schemes.
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References
Arad, Z., Fisman, E., Muzychuk, M.: Generalized table algebras. Israel J. Math. 114, 29–60 (1999)
Bannai, E., Ito, T.: Algebraic Combinatorics, vol. I. The Benjamin/Cummings Publishing Co. Inc., Menlo Park (1984)
Drozd, Y.A., Kirichenko, V.V.: Finite-Dimensional Algebras. Springer, Berlin (1994)
Hanaki, A.: Semisimplicity of adjacency algebras of association schemes. J. Algebra 225(1), 124–129 (2000)
Ushiyama, H.: Adjacency algebras of commutative association schemes over the ring of rational integers. Master’s thesis (in Japanese), Shinshu University (2019)
Zieschang, P.-H.: An Algebraic Approach to Association Schemes. Lecture Notes in Mathematics, vol. 1628. Springer, Berlin (1996)
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Funding was provided by Japan Society for the Promotion of Science (Grant No. JSPS KAKENHI Grant Number JP17K05165).
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This work was supported by JSPS KAKENHI Grant Number JP17K05165.
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Hanaki, A. Frame numbers, splitting fields, and integral adjacency algebras of commutative association schemes. Arch. Math. 114, 259–263 (2020). https://doi.org/10.1007/s00013-019-01389-4
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DOI: https://doi.org/10.1007/s00013-019-01389-4