Table algebras

Authors:
Harvey I. Blau
Affiliations:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, 60115, USA
Venue:
European Journal of Combinatorics
Year:
2009

Citing 7
Cited 2

On distance-regular graphs with fixed valency, IV

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The Subconstituent Algebra of an Association Scheme, (Part I)

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Primitive commutative association schemes with a non-symmetric relation of valency 3

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Actions of Finite Hypergroups

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Modular Data: The Algebraic Combinatorics of Conformal Field Theory

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Algebraic structure of association schemes of prime order

Journal of Algebraic Combinatorics: An International Journal
On maximal actions and w-maximal actions of finite hypergroups

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Commutative association schemes

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Association schemes, fusion rings, C-algebras, and reality-based algebras where all nontrivial multiplicities are equal

Journal of Algebraic Combinatorics: An International Journal

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Abstract

This article surveys table algebras as algebraic abstractions of association schemes and other structures. Various definitions are compared; some basic properties are developed; and some theorems and applications are presented.