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 - Anthony Dooley (University of Bath)
- Monday 02 March 2015, 16:00-17:00
- Lecture room B, Watson building.
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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