Racine, Michel,Eisenhauer, David2013-11-072013-11-0720032003Source: Masters Abstracts International, Volume: 42-06, page: 2215.http://hdl.handle.net/10393/26479http://dx.doi.org/10.20381/ruor-9647On the rational group algebra QSn , the map given by g* = g -1, for g ∈ Sn, and extended linearly, is an involution. Since QSn is a semisimple algebra, it has a unique decomposition into simple two-sided ideals. We determine, for 3 ≤ n ≤ 5, the restriction of * to these simple two-sided ideals. This is accomplished using a positive definite symmetric bilinear form. Also, we construct a counterexample to part of a theorem found in The Representation Theory of the Symmetric Group by James and Kerber.43 p.enMathematics.Thesis