Extentions between admissible representations of isometry groups of regular trees
Geometriae Dedicata, cilt.120, ss.99-109, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 120
- Basım Tarihi: 2006
- Doi Numarası: 10.1007/s10711-006-9078-8
- Dergi Adı: Geometriae Dedicata
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.99-109
- Anahtar Kelimeler: category of smooth representations, isometry groups of regular trees
- Dokuz Eylül Üniversitesi Adresli: Hayır
Özet
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.