Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590523 | Journal of Functional Analysis | 2012 | 21 Pages |
Abstract
We apply techniques introduced by Clerc, Kobayashi, Ørsted and Pevzner to study the degenerate principal series of Sp(n,C). An explicit description of the K-types is provided and Knapp–Stein normalised operators are realised as symplectic Fourier transforms, and their K-spectrum explicitly computed. Reducibility phenomena are analysed in terms of K-types and eigenvalues of intertwining operators. We also construct a new model for these representations, in which Knapp–Stein intertwiners take an algebraic form.
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