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Lie Algebras of Projective Motions of h-spaces H32,2 of the Type {32}
Russian MathematicsA. V. Aminova, D. R. Khakimov
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Infinitely divisible projective representations of the Lie algebras
Mathematical Proceedings of the Cambridge Philosophical Society, 1972Infinitely divisible group representations were first defined by Streater(1) as an important concept closely related to continuous tensor product. Araki(2) analysed the factorizable representations of Lie groups and obtained a generalization of the Levy–Khinchine formula.
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Description of a class of projection operators for semisimple complex Lie algebras
Mathematical Notes of the Academy of Sciences of the USSR, 1979zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asherova, R. M. +2 more
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Fundamental theorem of projective geometry in Lie modules and algebras
Journal of Soviet Mathematics, 1988Es ist wohlbekannt, daß jeder Automorphismus eines projektiven Raumes über einem Schiefkörper K (oder des zugehörigen Unterraumverbandes) durch eine semilineare Abbildung des zugehörigen K-Vektorraumes X induziert werden kann (Hauptsatz der projektiven Geometrie). Verf.
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Lie algebras of infinitesimal projective transformations of Lorentz manifolds
Russian Mathematical Surveys, 1995This article includes four chapters: Infinitesimal projective transformations; Affine and projective transformations determinated by circular vector fields; Lorentz manifolds and affine and projective transformations; The classification of Lorentz manifolds in Lie algebras of infinitesimal projective transformations.
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Lie algebras of projective motions of h-spaces H32,2 of type {32}
Izvestiya Vysshikh Uchebnykh Zavedenii. MatematikaWe study 5-dimensional pseudo-Riemannian manifolds in the form of h-spaces H 32 of type {32}. A classification of h-spaces H 32 ,
A. V. Aminova, D. R. Khakimov
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Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2022
Asya Vasilyevna Aminova +1 more
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Asya Vasilyevna Aminova +1 more
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Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2022
Asya Vasilyevna Aminova +1 more
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Asya Vasilyevna Aminova +1 more
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We study the von Neumann algebra \mathcal{M} = \{P,Q\}'' generated by two orthogonal projections on a separable Hilbert space. Using the Halmos direct integral decomposition in the sense of Dixmier and Takesaki, we show that \mathcal{M} decomposes into abelian parts and a measurable field of copies of M_2(\mathbb{C}).
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