Printable PDF
Department of Mathematics,
University of California San Diego

****************************

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

****************************