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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 269 - Combinatorics
Adriano Garsia
UCSD
On the eigenspaces of the random to top operator
Abstract:
The Random to top operator $Tn$ is the sum of the cycles ($i,i+1,..n$) for $i=1..n$. This operator has occurred in various contexts that range from algebraic geometry to statistics. It has played a crucial role in the proof of several recent results. In this lecture we completely determine its action in the regular representation of $Sn$.
Host:
October 4, 2005
4:00 PM
AP&M 7321
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