On coset-spaces of compact Lie groups by subgroups of corank 2 |
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Authors: | A N Shchetinin |
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Institution: | 1.Bauman Moscow State Technical University,Moscow,Russia |
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Abstract: | Let G be a simple compact connected simply connected Lie group, H its connected Lie subgroup of corank 2 which coincides with the commutator group of the centralizer of a torus, and let Sam(G/H) = 0. We prove that if a compact connected simply connected Lie group G' acts transitively and locally effectively on the manifold G/H, then G' is isomorphic to G. if the root system of G consists of roots of the same length, then the action of G' on G/H is similar to the action of G. |
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