i need to sum up λσ(aσ(1)aσ(2)aσ(3)−aσ(3)aσ(4)aσ(5)) over all σ∈S5 where ai are elements of associative non-commutative algebra. the result should be E1a1a2a3a4a5+⋯+E120a5a4a3a2a1 and i need to express Ei in terms of λσ. actualy my tartget is to find non-zero solution of Ei=0 for all i.