Study of generalized Verma modules

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We classified homomorphisms between scalar generalized modules associated with normal parabolic subalgebras of exceptional Lie algebras under the assumption that the infinitesimal characters are regular integral. We also studied Whittaker modules in the completion of generalized modules associated with parabolic subalgebras including Jacobi parabolic subalgebras of simple Lie algebras of the type C. We also obtained results on irreducibility of the Whittaker dual of principal series representations. We supported 49th joint Symposium on Real Analysis and Functional Analysis.