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Vanishing of the first-order cohomology on Olshanski spherical pairs
- Source :
- International Journal of Mathematics. 32:2150030
- Publication Year :
- 2021
- Publisher :
- World Scientific Pub Co Pte Lt, 2021.
-
Abstract
- In this paper, we 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 prove a variant of Delorme’s vanishing result of the first-order cohomology space for spherical representations of Olshanski spherical pairs.
Details
- ISSN :
- 17936519 and 0129167X
- Volume :
- 32
- Database :
- OpenAIRE
- Journal :
- International Journal of Mathematics
- Accession number :
- edsair.doi...........38624b2993c21374480db6cfeecef119