I have been reading the paper "Transfer of Unitary Representations" with Seung and Oded. We are reading the final section that is called a family of examples. The family is actually a family of representations for $Sp(2n,R)$. The first time we tried we were doing the case $n=2$, but we got stuck at some point, so I suggested to do the case n=1 instead for next time. I remember saying "Yeah, the case n=1 should be so simple, is $SL(2,R)$ and we know everything about it". So next time we tried that case for a couple of hours but nothing made sense.
Later that week I asked Wallach and he told me that actually $n=1$ doesn't work at all. I tried to come up with an example modifying the construction, but this example didn't satisfied the hypothesis of the paper at all.
I felt really bad with Oded and Seung about this, because it was me who insisted in doing this case first. We have moved to the case $n=2$ and hopefully today we can finish it and move to a more general case.
Mostrando entradas con la etiqueta Zuckerman Functor. Mostrar todas las entradas
Mostrando entradas con la etiqueta Zuckerman Functor. Mostrar todas las entradas
miércoles, 17 de junio de 2009
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