This article is cited in 15 papers

Conjugacy of polar factorizations of Lie groups

D. V. Alekseevskii


Abstract: A Lie group is said to be effective if it is connected and contains no compact normal divisors. A factorization of a connected Lie group into the product of two connected subgroups, the first of which is maximally compact and the second completely solvable is called a polar factorization.
In this article the following theorem is proved.
Theorem. Any two polar factorizations of an effective Lie group are conjugate under an inner automorphism.
Bibliography: 5 titles.

UDC: 519.46

MSC: 22E40, 22E27, 20E45, 22C05, 20E36

Received: 13.05.1970

 English version: Mathematics of the USSR-Sbornik, 1971, 13:1, 12–24

Bibliographic databases:

• 
•