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Terwilliger Algebras of Cyclotomic Schemes and Jacobi Sums

✍ Scribed by Haruo Ishibashi; Tatsuro Ito; Mieko Yamada

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
180 KB
Volume
20
Category
Article
ISSN
0195-6698

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✦ Synopsis

We show that the T -module structure of a cyclotomic scheme is described in term of Jacobi sums. It holds that an irreducible T -module of a cyclotomic scheme fails to have maximal dimension if and only if Jacobi sums satisfy certain kind of equations, which are of some number theoretical interest in themselves.

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