A modular absolute bound condition for primitive association schemes
Combinatorics
2007-10-02 v1 Representation Theory
Abstract
The well-known absolute bound condition for a primitive symmetric association scheme (X,S) gives an upper bound for |X| in terms of |S| and the minimal non-principal multiplicity of the scheme. In this paper we prove another upper bounds for |X| for an arbitrary primitive scheme (X,S). They do not depend on |S| but depend on some invariants of its adjacency algebra KS where K is an algebraic number field or a finite field.
Keywords
Cite
@article{arxiv.0710.0044,
title = {A modular absolute bound condition for primitive association schemes},
author = {Akihide Hanaki and Ilia Ponomarenko},
journal= {arXiv preprint arXiv:0710.0044},
year = {2007}
}
Comments
12 pages