Vanishing of the first-order cohomology on Olshanski spherical pairs-Reference-Cited by-同舟云学术

Vanishing of the first-order cohomology on Olshanski spherical pairs

Published:2021-03-25 Issue:05 Volume:32 Page:2150030
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Rabaoui Marouane¹²³^ORCID

Affiliation:

1. Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia

2. Laboratoire d’Analyse Mathématique et, Applications LR11ES11, Faculté des Sciences de Tunis, Université de Tunis El Manar, 2092 El Manar Tunis, Tunisia

3. Institut préparatoire aux études d’ingénieur de Nabeul, Campus Universitaire Merazka, Université de Carthage, 8000 Nabeul, Tunisia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21500300

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