Results 241 to 250 of about 1,035 (266)
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On Lie Algebras Defined by Tangent Directions to Homogeneous Projective Varieties
Mathematical Notes, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PROJECTIVE METABELIAN GROUPS AND LIE ALGEBRAS
Mathematics of the USSR-Izvestiya, 1978Suppose that is the variety of all abelian groups of exponent dividing , and is the variety of all abelian groups. In this paper it is proved that projective metabelian -groups of finite rank are free. Moreover, it is proved that projective metabelian -Lie algebras of finite rank, where is a principal ideal ring, are free.Bibliography: 9 titles.
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PROJECTIVE METABELIAN LIE ALGEBRAS OF FINITE RANK
Mathematics of the USSR-Izvestiya, 1972In this paper we study the connection between free projective metabelian Lie algebras of finite rank and Serre's problem. We prove that projective metabelian Lie algebras of rank two are free.
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Projection operators for Lie algebras, duperalgebras, and quantum algebras
AIP Conference Proceedings, 1996The essence of the method of projection operators is considered using the suq(2) quantum algebra as an example. As an application the general analytical formula for the q—Clebsch‐Gordan coefficients is derived. The generalization of this method onto arbitrary Lie algebras (superalgebras and quantum algebras) is discussed shortly.
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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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