Results 231 to 240 of about 1,035 (266)

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 ...
exaly   +2 more sources

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.
H Bacry
exaly   +3 more sources

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.
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Lie Algebras of Projective Motions of Rigid h-Spaces H32,3 of the Type {32}

Russian Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aminova, A. V., Khakimov, D. R.
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Projective Limits of Finite-Dimensional Lie Groups

open access: yesProceedings of the London Mathematical Society, 2003
For a topological group G we define N to be the set of all normal subgroups modulo which G is a finite-dimensional Lie group. Call G a pro-Lie group if, firstly, G is complete, secondly, N is a filter basis, and thirdly, every identity neighborhood of G ...
Karl H Hofmann, Sidney A Morris
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Projective Tracking Based on Second-Order Optimization on Lie Manifolds

open access: yes, 2008
Template tracking based on the space transformation model can usually be reduced to solve a nonlinear least squares optimization problem over a Lie manifold of parameters.
Zelin Shi
exaly   +1 more source

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.
openaire   +2 more sources

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