Results 61 to 70 of about 107,381 (262)

Integrable magnetic geodesic flows on Lie groups

, 2011
Right-invariant geodesic flows on manifolds of Lie groups associated with 2-cocycles of corresponding Lie algebras are discussed. Algebra of integrals of motion for magnetic geodesic flows is considered and necessary and sufficient condition of ...
A. A. Magazev, A. A. Magazev, A. V. Bolsinov, A. V. Bolsinov, A. Z. Petrov, B. A. Dubrovin, D. I. Efimov, D. I. Efimov, I. V. Shirokov, M. Goto, Yu. A. Yurevich   +10 more
core   +1 more source

Symmetry analysis of the canonical connection on Lie groups: six-dimensional case with abelian nilradical and one-dimensional center

AIMS Mathematics
In this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus
Nouf Almutiben , Ryad Ghanam, G. Thompson, Edward L. Boone   +3 more
doaj   +1 more source

Representations of Complex Semi-simple Lie Groups and Lie Algebras [PDF]

, 2012
Lie groups and Lie algebras occupy a prominent and central place in mathematics, connecting differential geometry, representation theory, algebraic geometry, number theory, and theoretical physics.
A. Khare
semanticscholar   +1 more source

Invertible Carnot Groups

Analysis and Geometry in Metric Spaces, 2014
We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity.
Freeman David M.
doaj   +1 more source

Ternary algebras and groups

, 2007
We construct explicitly groups associated to specific ternary algebras which extend the Lie (super)algebras (called Lie algebras of order three). It turns out that the natural variables which appear in this construction are variables which generate the ...
Ahmedov H, Filipov V T, Gnedbaye A V, Goze M, Kerner R, M Rausch de Traubenberg, Michor P W, Moultaka G, Rausch de Traubenberg M, Rausch de Traubenberg M, Roby N   +10 more
core   +1 more source

The path group construction of Lie group extensions

, 2008
We present an explicit realization of abelian extensions of infinite dimensional Lie groups using abelian extensions of path groups, by generalizing Mickelsson's approach to loop groups and the approach of Losev-Moore-Nekrasov-Shatashvili to current ...
Vizman, Cornelia
core   +2 more sources

Cosmological string backgrounds from super Poisson-Lie T-plurality

Nuclear Physics B, 2020
We generalize the formulation of Poisson-Lie (PL) T-plurality proposed by R. von Unge (2002) [6] from Lie groups to Lie supergroups. By taking a convenient ansatz for metric of the σ-model in terms of the left-invariant one-forms of the isometry Lie ...
Ali Eghbali
doaj   +1 more source

A classification of Lie algebras of pseudounitary groups in the techniques of Clifford algebras

, 2007
In this paper we present new formulas, which represent commutators and anticommutators of Clifford algebra elements as sums of elements of different ranks. Using these formulas we consider subalgebras of Lie algebras of pseudounitary groups.
Shirokov, Dmitry
core   +1 more source

Semigroups in Lie Groups, Semialgebras in Lie Algebras [PDF]

Transactions of the American Mathematical Society, 1985
This paper is a thorough study of the notion of Lie semialgebras and of their analytic geometry. A Lie semialgebra is a wedge (closed convex cone) W of a finite dimensional Lie algebra L which is locally closed under the local Campbell-Hausdorff multiplication * in L.
Karl H. Hofmann, Joachim Hilgert
openaire   +3 more sources

The family of quaternionic quasi-unitary Lie algebras and their central extensions

, 1998
The family of quaternionic quasi-unitary (or quaternionic unitary Cayley--Klein algebras) is described in a unified setting. This family includes the simple algebras sp(N+1) and sp(p,q) in the Cartan series C_{N+1}, as well as many non-semisimple real ...
Aldaya V, Chevalley C, de Azcárraga J A, de Azcárraga J A, de Azcárraga J A, de Montigny M, Francisco J Herranz, Fulton W, Gilmore R, Helgason S, Herranz F J, Herranz F J, Herranz F J, Herranz F J, Herranz F J, Herranz F J, Inönü E, Inönü E, Mariano Santander, Moody R V, Rozenfel'd B A, Rozenfel'd B A, Sudbery A   +22 more
core   +2 more sources