Results 11 to 20 of about 1,659,781 (237)

Special symplectic Lie groups and hypersymplectic Lie groups [PDF]

open access: yes, 2010
A special symplectic Lie group is a triple $(G,\omega,\nabla)$ such that $G$ is a finite-dimensional real Lie group and $\omega$ is a left invariant symplectic form on $G$ which is parallel with respect to a left invariant affine structure $\nabla$.
A. Andrada   +32 more
core   +1 more source

Para-f-Lie groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Special para-f-structures on Lie groups are studied. It is shown that every para-f-Lie group G is the quotient of the product of an almost product Lie group and a Lie group with trivial para-f-structure by a discrete subgroup.
Andrew Bucki
doaj   +1 more source

Lie algebras whose Lie groups have negative sectional curvature

open access: yesRevista Integración, 2022
The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the ...
Gil Salgado
doaj  

Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The article gives an algorithm for constructing quantum integrals of motion on the basis of well-known classic integrals.To construct quantum integrals, we apply star product of the operators' symbols, which is used in the quantization theory.A non ...
Anton Sergeevich Popov   +1 more
doaj   +1 more source

Bilinear cryptography using Lie algebras from p-groups [PDF]

open access: yesMathematics and Computational Sciences, 2021
Pairings are particular bilinear maps, and they have been defined based on elliptic curves whichare abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposedpairings from a tensor product of groups in 2013.
Elaheh Khamseh
doaj   +1 more source

Decompounding on compact Lie groups [PDF]

open access: yes, 2009
Noncommutative harmonic analysis is used to solve a nonparametric estimation problem stated in terms of compound Poisson processes on compact Lie groups. This problem of decompounding is a generalization of a similar classical problem.
Christian Lageman   +4 more
core   +3 more sources

On Lie rings of torsion groups

open access: yesBulletin of Mathematical Sciences, 2016
We prove that the Lie ring associated to the lower central series of a finitely generated residually-p torsion group is graded nil.
Consuelo Martínez, Efim Zelmanov
doaj   +1 more source

Theoretical model for the diclofenac release from PEGylated chitosan hydrogels

open access: yesDrug Delivery, 2021
Controlled drug delivery systems are of utmost importance for the improvement of drug bioavailability while limiting the side effects. For the improvement of their performances, drug release modeling is a significant tool for the further optimization of ...
Daniela Ailincai   +7 more
doaj   +1 more source

Differentiable semigroups are Lie groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
We present here a modern, detailed proof to the following theorem which was introduced by Garrett Birkhoff [1] in 1938. If S is a local semigroup with neighborhood of 1 homeomorphic to a Banach space and with multiplication strongly differentiable at 1 ...
John P. Holmes, Mitch Anderson
doaj   +1 more source

Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces

open access: yesSpecial Matrices, 2021
We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
doaj   +1 more source

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