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Nilpotent Lie groups: Fourier inversion and prime ideals

Presented by: 
Ying-Fen Lin Queen's University Belfast
Date: 
Tuesday 23rd May 2017 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Abstract: 
In this talk, I will give a version of the Fourier inversion theorem for connected, simply connected nilpotent Lie groups G = exp(g) by showing that there is a continuous retract from the space of adapted smooth kernel functions defined on a sub-manifold of g^* into the Schwartz functions defined on G.  As an application, I will give a characterisation of a class of invariant prime ideals of L^1(G).




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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons