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Extentions between admissible representations of isometry groups of regular trees
Authors:Selçuk Demir
Institution:(1) İstanbul Bilgi University, İstanbul, Turkey
Abstract:This is the continuation of our previous work (Demir, Geom. Dedicata 105, 189–207, 2004). In this paper, we study extensions between admissible representations of the isometry groups of regular trees. We use the results of Demir, (Geom. Dedicata 105, 189–207, 2004) to show, following Schneider and Stuhler (J. Reine. Angew. Math. 436, 19–32, 1993) in the p-adic case, that extensions between admissible representations of G are finite-dimensional.
Keywords:Category of smooth representations  Isometry groups of regular trees
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