منابع مشابه
Commutative association schemes
Association schemes were originally introduced by Bose and his co-workers in the design of statistical experiments. Since that point of inception, the concept has proved useful in the study of group actions, in algebraic graph theory, in algebraic coding theory, and in areas as far afield as knot theory and numerical integration. This branch of the theory, viewed in this collection of surveys a...
متن کاملClassification of commutative association schemes with almost commutative Terwilliger algebras
We classify the commutative association schemes such that all nonprimary irreducible modules of their Terwilliger algebras are one-dimensional.
متن کاملGeneralized Commutative Association Schemes, Hypergroups, and Positive Product Formulas
It is well known that finite commutative association schemes in the sense of the monograph of Bannai and Ito lead to finite commutative hypergroups with positive dual convolutions and even dual hypergroup structures. In this paper we present several discrete generalizations of association schemes which also lead to associated hypergroups. We show that discrete commutative hypergroups associated...
متن کاملGroup-Case Commutative Association Schemes and Their Character Tables
Leading towards the classification of primitive commutative association schemes as the ultimate goal, Bannai and some of his school have been trying to • identify the major sources of (primitive) commutative association schemes, • collect known group-case primitive commutative association schemes, and • compute their character tables over the last twenty years. The construction of their charact...
متن کاملProperties of Commutative Association Schemes Derived by Fglm Techniques
Association schemes are combinatorial objects that allow us solve problems in several branches of mathematics. They have been used in the study of permutation groups and graphs and also in the design of experiments, coding theory, partition designs etc. In this paper we show some techniques for computing properties of association schemes. The main framework arises from the fact that we can char...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2009
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2008.11.001