Representation theory of groups and \(D\)-modules (Q2038326)

Summary: In this paper, we study a decomposition D-module structure of the polynomial ring. Then, we illustrate a geometric interpretation of the Specht polynomials. Using Brauer's characterization, we give a partial generalization of the fact that factors of the discriminant of a finite map \(\pi:\operatorname{spec} B\longrightarrow\operatorname{spec} A\) generate the irreducible factors of the direct image of \(B\) under the map \(\pi\).