> < ^ Date: Sun, 30 Dec 2001 11:25:57 +1000
^ From: Rex L Agacy <ragacy@beyond.net.au >
> ^ Subject: Group algebra setup for S_n

Dear GAP-Forum members,
As a complete beginner can anyone say how to set up the algebraic structure
so as to perform multiplication of elements in the group algebra of S_n, eg
for S_4 (with generators specified as say (1,2),(1,3),(1,4) - but how?), I'd
like to calculate: ( () + 2*(1,3) + 3*(3,2,4) ) * ( 4*(2,1,4) +
2*(1,3,2,4) ) where () is the id permutation and the others are cycles -
coefficients are integers?
Could the answers be added to the Tutorial manual?
Much obliged.
Thanks
RL Agacy


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