|
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 6, Pages 60–74
(Mi ivm9011)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
On factor-spaces of compact Lie groups by subgrops of co-rank one
A. N. Shchetinin Chair of Computing Mathematics and Mathematical Physics, Bauman Moscow State Technical University, 5 Vtoraya Baumanskaya str., Moscow, 105005 Russia
Abstract:
Let $G$ be a compact connected Lie group, $L$ be a centralizer of torus in $G$, $H$ be the commutant of the group $L$, $\mathrm{cork}H=1$, $G/H$ be simply connected. We obtain the classification of transitive actions of compact Lie groups on the manifolds $G/H$.
Keywords:
compact Lie group, cohomology, transitive action.
Received: 19.12.2013
Citation:
A. N. Shchetinin, “On factor-spaces of compact Lie groups by subgrops of co-rank one”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 6, 60–74; Russian Math. (Iz. VUZ), 59:6 (2015), 49–61
Linking options:
https://www.mathnet.ru/eng/ivm9011 https://www.mathnet.ru/eng/ivm/y2015/i6/p60
|
Statistics & downloads: |
Abstract page: | 121 | Full-text PDF : | 27 | References: | 32 | First page: | 3 |
|