Homomorphic images of connected Lie groups in compact groups

Advanced Studies in Contemporary Mathematics (Kyungshang)

Volumn 20, Issue 1, 2010, Pages 1-6

  Shtern, Alexander I ^a,b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

Freudenthal weil theorem; Locally compact group; Semisimple compact group; Van der waerden continuity theorem

Indexed keywords

EID: 75749129443     PISSN: 12293067     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. A. I. Shtern, Freudenthal-Weil theorem for arbitrary embeddings of connected Lie groups in compact groups, Adv. Stud. Contemp. Math. (Kyungshang) 19 (2009), no. 2, 157-164.
2. H. Freudenthal, Topologische Gruppen mit genügend vielen fastperiodischen Funktionen, Ann. of Math. 37 (1936), 57-77.
3. A. Weil, L'intégration dans les groupes topologiques et ses applications, 2nd ed., Act. Sc. Ind. No. 1145, Hermann, Paris, 1953.
4. A. I. Shtern, Freudenthal-Weil theorem for not necessarily continuous embeddings in compact groups (to appear).
5. 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. (Kyungshang) 13 (2006), no. 2, 143-158.
6. A. I. Shtern, Analog of van der Waerden's continuity theorem and the validity of Mishchenko's conjecture for relatively compact homomorphisms of arbitrary locally compact groups, Adv. Stud. Contemp. Math. (Kyungshang) 14 (2007), no. 1, 1-20.
7. A. I. Shtern, A version of the. van der Wacrdcn theorem and the proof of the Mishchenko conjecture for homomorphisms of locally compact groups, Izv. Ross. Akad. Nauk Ser. Mat. 72 (2008), no. 1, 183-224; English transl.: Izv. Math. 72 (2008), no. 1, 169-205.
8. B. L. van der Waerden, Stetigkeitssätze für halbeinfache Liesche Gruppen, Math. Z. 36 (1933), 780-786.
9. K. H. Hofmann, S. A. Morris, The Structure of Compact Groups, de Gruyter, Berlin, 1998.
10. V. S. Varadarajan, Lie Groups, Lie Algebras, and Their Representations, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1974.