Results 211 to 220 of about 579,929 (244)

Projective Double Lie Algebras on a Lie Algebra

1994
The notion of projective double Lie algebras on a Lie algebra g has arisen in connection with certain local Lie loop structures on a Lie group with Lie algebra g. In this article, including semisimple Lie algebras, we are mainly concerned with certain group-graded Lie algebras which are not necessarily finite-dimensional, and we determine their ...
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Blocks and projective modules for reduced universal enveloping algebras of a nilpotent restricted Lie algebra

Archiv Der Mathematik, 1995
The main result of this note is the description of an arbitrary block ideal of a reduced universal enveloping algebra in the nilpotent case via induced modules. From this it is possible to derive a dimension formula for the corresponding Jacobson radical resp.
Jörg Feldvoss
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Lie algebras ofH-projective motions of Kähler manifolds of constant holomorphic sectional curvature

Mathematical Notes, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A V Aminova
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The projective Lie algebra of the Lorentz group and homographic transformations

Journal of Mathematical Physics, 1978
The Lorentz group is used as the group of homographic transformations on the Riemann sphere. Its Lie algebra is shown to have a very simple interpretation with the aid of cross products and constellation formalism. This property is used to give a constellation description of the Clebsch–Gordan series for the product of two states of spin 1.
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Lie Algebras of Projective Motions of Rigid h-Spaces H32,3 of the Type {32}

Russian Mathematics
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Aminova, A. V., Khakimov, D. R.
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Projections of semisimple Lie algebras

Algebra i logika, 2019
The paper proves that any finite-dimensional Lie algebra over a perfect field of finite characteristic \(p>3\), different from a 3-dimensional simple non-split Lie algebra, that is lattice isomorphic to a semisimple Lie algebra is also semisimple. Here by lattice isomorphism of Lie algebras the author means the isomorphism of their subalgebra lattices.
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On Lie Algebras Defined by Tangent Directions to Homogeneous Projective Varieties

Mathematical Notes, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PROJECTIVE METABELIAN GROUPS AND LIE ALGEBRAS

Mathematics of the USSR-Izvestiya, 1978
Suppose 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, 1972
In 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, 1996
The 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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