Group-case commutative association schemes and their character tables
Abstract
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.
Keywords
Cite
@article{arxiv.0809.0748,
title = {Group-case commutative association schemes and their character tables},
author = {Sung Y. Song and Hajime Tanaka},
journal= {arXiv preprint arXiv:0809.0748},
year = {2008}
}
Comments
10 pages; appeared in the (unofficial) proceedings, "Algebraic Combinatorics, an International Conference in Honor of Eiichi Bannai's 60th Birthday", June 26-30, 2006, Sendai International Center, Sendai, Japan, pp. 204-213