A generalization of lie's theorem for solvable locally compact groups whose quotient by the center is a lie group

Advanced Studies in Contemporary Mathematics (Kyungshang)

Volumn 23, Issue 4, 2013, Pages 695-700

  Shtern, A I ^a,b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

Connected solvable locally compact group; Finite dimensional representation; Lie's theorem for solvable connected lie groups; Totally discontinuous group

Indexed keywords

EID: 84887975856     PISSN: 12293067     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. S. Lie, Theorie der Transformationsgruppen, Teubner, Leipzig, 1888.
2. M. K. Patra, K. C. Pati, and K. C. Tripathy, Representation of BRS and full BRS algebra, J. Phys. A 21 (1988), no. 16, 3301-3312.
3. A. I. Shtern, Van der waerden's continuity theorem for the commutator subgroups of connected lie groups and mishchenko's conjecture, Adv. Stud. Contemp. Math. 13 (2006), no. 2, 143-158.
4. A. I. Shtern, Kazhdun-mil'man problem for semisimple compact lie groups, Russian Math. Surveys 62 (2007), no. 1, 123-190.
5. A. I. Shtern, A version of van der waerden's theorem and a proof of mishchenko's conjecture for homomorphisms of locally compact groups, Izv. Math. 72 (2008), no. 1, 169-205.
6. A. Weil, L'intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1940.
7. A. I. Shtern, The structure of homomorphisms of connected locally compact groups into compact groups, Izv. Math. 75 (2011), no. 6, 1279-1304.