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Unitary and Wavelet Representations for a Nilpotent Semidirect Product Family

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Brent Wessel, SLU

What
  • Analysis Seminar
When Mon, Nov 28, 2016
from 04:10 PM to 05:00 PM
Where Ritter Hall 120
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In Lie Theory, classifying certain classes of group representations is a common goal. We are trying to classify all irreducible unitary representations of a certain infinite family of semi-direct products built up from a nilpotent group and a rotation group. We will begin by outlining our overall plan and direction for this project, including classifying the wavelet representations of the product. Then we will showcase some of the work that has already been completed by using the examples n=3 and n=5 to convey the method behind the general results. 
 
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