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Irreducibility of certain degenerate principal series representations of ${\rm Sp}(n,\,{\bf R})$

Irreducibility of certain degenerate principal series representations of ${\rm Sp}(n,\,{\bf R})$

An irreducibility theorem is proved for degenerate principal series representations of ${\text {Sp}}(n,{\mathbf {R}})$ induced from unitary characters of a certain maximal parabolic subgroup.