BRANCHING RULES FOR SPECHT MODULES
Abstract Let S λ be a Specht module for the symmetric group Σ n , defined over a field of characteristic different from 2, and let L n − 1 be the sum of all transpositions in Σ n − 1 that do not fix n − 1 . It is shown that the minimal polynomial of L n − 1 acting on S λ has maximum possible degree. As a consequence, the indecomposable components of the restriction of S λ to Σ n − 1 coincide with the block components. Analogous results are proved for L n + 1 and the Σ n + 1 -module that is induced from S λ .