Vanishing of the First order Cohomology on Olshanski Spherical pairs


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Project Details

Type of project: KFU Nasher Track

Start date: 01/07/2020

End date: 31/05/2021


Abstract

In this research project, we aim to study the first order cohomology space of countable direct limit groups related to Olshanski spherical pairs, relatively to unitary representations which do not have almost invariant vectors. In particular, we aim to prove a variant of P. Delorme's vanishing result of the first order cohomology space for spherical representations of Olshanski spherical pairs.


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Last updated on 2021-05-04 at 19:44