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math.RT2011
C*-algebraic intertwiners for principal series: case of SL(2)
Pierre Clare
We construct and normalise intertwining operators at the level of Hilbert modules describing the principal series of SL(2). Normalisation is achieved through the use of a Fourier t…
math.RT2011
On the degenerate principal series of complex symplectic groups
Pierre Clare
We apply techniques introduced by Clerc, Kobayashi, Orsted and Pevzner to study the degenerate principal series of Sp(n,C). An explicit description of the K-types is provided and K…