Elementary construction of the minimal free resolution of the Specht ideal of shape (n − d,d)

Let K be a field with char(K)=0. For partition λ of n∈N, let IλSp the ideal R=K[x1,…,xn] generated by all Specht polynomials shape λ. These ideals have been studied from several points view (and under names). Using advanced tools representation theory, Berkesch Zamaere et al. [1] constructed minimal free resolution I(n−d,d)Sp except differential maps. The present paper constructs maps, and also gives an elementary proof result [1].