Kazhdan's Property T for the Symplectic Group over a Ring

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 10, Issue 4, 2003, Pages 537-550

  Neuhauser, Markus ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Bounded generation; Kazhdan constant; Kazhdan property; Loop groups; Topological groups

Indexed keywords

EID: 1442305157     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1070645800     Document Type: Article

References (7)

1. Pierre de la Harpe and Alain Valette. La propriété (T) de Kazhdan pour les groupes localement compacts, volume 175 of Astérisque. Société Mathématique de France, 1989.
2. Gerald B. Folland. Harmonic analysis in phase space, volume 122 of Annals of Mathematics Studies. Princeton University Press, 1989.
3. Horst Schubert. Topologie. B. G. Teubner, 4 edition, 1975.
4. Yehuda Shalom. Bounded generation and Kazhdan's property (T). Institut des Hautes Études Scientifiques. Publications Mathématiques, 90:145-168, 1999.
5. O. I. Tavgen'. Bounded generation of Chevalley groups over rings of algebraic S-integers. Math. USSR Izvestiya, 36(1):101-128, 1991.
6. Alain Valette. Old and new about Kazhdan's property (T). In Velleda Baldoni and Massimo A. Picardello, editors, Representations of Lie groups and quantum groups, volume 311 of Pitman Research Notes in Mathematics Series, pages 271-333. Longman Scientific & Technical, 1994.
7. K. Kh. Zakir'yanov. Symplectic groups over rings of algebraic integers have finite width over the elementary matrices. Algebra and Logic, 24(6):436-440, 1985.