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University of Birmingham > Talks@bham > Analysis Seminar > Intertwining operators, the Cayley transform, and the contraction of K to NM
Intertwining operators, the Cayley transform, and the contraction of K to NMAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Alessio Martini. The Iwasawa decomposition of a rank one semi-simple Lie group G contains a maximal subgroup K, as well as a semi-direct product NM of a two-step nilpotent group N by a subgroup of K. These two groups are related by the fact that NM is a contraction, a limit of a family of deformations, of K. We use this relationship to compare the two standard pictures of the representations of G: the K picture and the N picture. The representations of MN are in a suitable sense, limits of irreducible representations of K. This observation has consequences for the harmonic analysis of G. This talk is part of the Analysis Seminar series. This talk is included in these lists:Note that ex-directory lists are not shown. |
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