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Admissibility of Quasiregular Representation of Exponential Solvable Lie Groups

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Vignon Oussa, St. Louis University

What
  • PhD Oral Defense
  • Colloquium
When Thu, Mar 22, 2012
from 09:00 AM to 09:50 AM
Where Ritter Hall 202
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Abstract:  Let N be a simply connected, connected non commutative nilpotent Lie group, and H a subgroup of the automorphism group of N acting on N by a diagonal action with complex (but non-purely imaginary) eigenvalues. We form the semidirect product G = N H which is an exponential solvable Lie group. We completely settle to question of admissibility of the representation obtained by trivially inducing the identity character from the conormal subgroup H to all of G. We also provide explicit constructions of continuous wavelets when the representation is admissible.

 

 

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