Group-case commutative association schemes and their character tables

Details Group-case commutative association schemes and their character tables Group-case commutative association schemes and their character tables

2008-09-04

arxiv.org/abs/0809.0748v1

Mathematics

Combinatorics

10 pages; appeared in the (unofficial) proceedings, "Algebraic Combinatorics, an International Conference in Honor of Eiichi B

Scientific paper

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 character tables are important first step for a systematic study of such association schemes and towards the classification of those schemes. In this talk, we briefly survey the progress made in this direction of research, and list some open problems.

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