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This article is cited in 1 scientific paper (total in 1 paper)
A property of polarization
A. A. Zaitsev Central Scientific-Research Institute for Industrial Buildings
Abstract:
Let $G$ be a real Lie group with the Lie algebra $\mathfrak g$, and let f be a real linear functional on $\mathfrak g$. It is established that if $\operatorname{Ker}f$ does not contain nonzero ideals of the algebra $\mathfrak g$, then the existence of a total positive complex polarization for $f$ implies that the Lie algebra of the stationary subgroup of the functional $f$ in $\mathfrak g$ is reductive.
Received: 21.04.1975
Citation:
A. A. Zaitsev, “A property of polarization”, Mat. Zametki, 21:4 (1977), 453–457; Math. Notes, 21:4 (1977), 255–257
Linking options:
https://www.mathnet.ru/eng/mzm7973 https://www.mathnet.ru/eng/mzm/v21/i4/p453
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Abstract page: | 230 | Full-text PDF : | 81 | First page: | 1 |
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