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Dear gap-forum,

My name is OKADA, Sou studying Association Scheme.

An association scheme is, roughly speaking,

the set of 0-1 matrices R such that

Dimension(Algebra(R,field))=Size(R) where the field

usually refers to the complex field. GAP is

quite useful for our research area.

I have made new functions for association schemes at

http://science.icu.ac.jp/~so/index-e.html

You can study well Association Scheme by the functions.

I designed them to be capable to handle them not only

on the usual rational or complex field but also on an

any finite field. Especially, my first motivation

was to make a program to see the association scheme

from a TypeII matrice on a finite field.

I hope some of you may be interested in my functions

------------- I encountered one strange behavior of GAP4 4r2 fix4. That is gap>W:=[[1,1,1],[1, E(3), E(3)^2],[1,E(3)^2,E(3)]];; gap>Sum([[1,2]],i-> W{[i]}); [[1,1,1],[1,E(3),E(3)^2]] I think this is strange. Since IsDenseList(W{[1,2]}) returns true, so it could be better that Sum([[1,2]],i-> W{[i]}) returns [2,-E(3)^2, -E(3)] .

Thanks in advance!

OKADA, Sou http://science.icu.ac.jp/~so

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