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JOURNAL OF
ALGEBRAIC
COMBINATORICS
  Editors-in-chief: C. A. Athanasiadis, T. Lam, A. Munemasa, H. Van Maldeghem
ISSN 0925-9899 (print) • ISSN 1572-9192 (electronic)
 

Classification of commutative association schemes with almost commutative Terwilliger algebras

Rie Tanaka

DOI: 10.1007/s10801-010-0230-z

Abstract

We classify the commutative association schemes such that all non-primary irreducible modules of their Terwilliger algebras are one-dimensional.

Pages: 1–10

Keywords: keywords association scheme; Terwilliger algebra; wreath product; poset

Full Text: PDF

References

1. Bannai, E., Ito, T.: Algebraic Combinatorics I. Benjamin/Cummings, Redwood City (1984)
2. Bannai, E., Munemasa, A.: The Terwilliger algebras of group association schemes. Kyushu J. Math.



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