Nonexistence of Exceptional 5-class Association Schemes with Two $Q$-polynomial Structures
Combinatorics
2013-11-26 v1
Abstract
In [H. Suzuki, Association schemes with multiple -polynomial structures, J. Algebraic Combin. 7 (1998) 181-196], Suzuki gave a classification of association schemes with multiple -polynomial structures, allowing for one exceptional case which has five classes. In this paper, we rule out the existence of this case. Hence Suzuki's theorem mirrors exactly the well-known counterpart for association schemes with multiple -polynomial structures, a result due to Eiichi Bannai and Etsuko Bannai in 1980.
Keywords
Cite
@article{arxiv.1311.5942,
title = {Nonexistence of Exceptional 5-class Association Schemes with Two $Q$-polynomial Structures},
author = {Jianmin Ma and Kaishun Wang},
journal= {arXiv preprint arXiv:1311.5942},
year = {2013}
}
Comments
8 pages