| In this thesis,we study the irreducible representations of the first Weyl algebra. Con-sidering Block’s theorem on indicial polynomials, a theorem which generalizes Block’swork is obtained by calculating the preimage. In addition, we construct irreducible S-torsionfree modules at arbitrary degree by using the Eisenstein criterion for noncommu-tative polynomials. Our constructions are algebraic, and these results are new. |
