In this paper, we study p-adic fields, symplectic groups, orthogonal groups, and the reducibility of such representations. We determine the reducibility points, give Langlands data and Jacquet modules for each of the irreducible composition factors, and describe how they are arr…
This volume presents a detailed study of the anisotropic series representations of the free product group [bold]Z/2[bold]Z*···*[bold]Z/2[bold]Z. These representations are infinite dimensional, irreducible, unitary, and can be divided into principal and complimentary series. Anis…
This volume presents a detailed study of the anisotropic series representations of the free product group [bold]Z/2[bold]Z*···*[bold]Z/2[bold]Z. These representations are infinite dimensional, irreducible, unitary, and can be divided into principal and complimentary series. Anis…
This work comprises a general study of symmetry breaking for compact Lie groups in the context of equivariant bifurcation theory. We begin by extending the theory developed by Field and Richardson for absolutely irreducible representations of finite groups to general irreducible…
This memoir concerns the representation theory of semisimple Lie groups. The main results offer characterizations of unitary highest weight representations as solutions to systems of differential operators.