HI, I am trying to do computations in group algrabras. Mostly, using
groups such as s3 (permuations in three places.) Is there any decent
way to define an algebra of this sort, seeing as how the permuations do not
form a ring. If not, is there any way to define addition for
permuations, so that I can psuedo form my own algebra? If neither of
these work, are there any other suggestions with gap?