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Title:
F-Lie
Algebras: Classification of Cubic Extensions
of the Poincaré Algebras
Author:
M. Rausch de Traubenberg
Comments:
6 pages, no figures
Abstract:
Lie algebras of order F (or F-Lie algebras)
are possible generalisations of Lie algebras
(F=1) and Lie superalgebras (F=2). These structures
have been used to implement new non-trivial
extensions of the Poincaré algebra
in quantum field theory. A systematic method
to obtain all Lie algebras of order 3 associated
to iso(1,3) the four-dimensional Poincaré
algebra, is given..
Title:
Optimisation Topologique d'une Structure
Elastique via la Décomposition du
Domaines
Authors:
A. Makrizi et B. Radi
Comments:
7 pages, no figures
Abstract:
En optimisation topologique, on est souvent
amener à résoudre un problème
de grande taille ou parfois un problème
dont le domaine est hétérogène,
ainsi la méthode de décomposition
du domaine paraît comme une bonne
alternative pour résoudre de tel
problème. Nous présentons
dans ce papier une nouvelle approche de
l'opimisation topologique
basée décomposition en sous
domaines.
Mots clés : Optimisation topologique,
SIMP, Méthodes de décomposition
du domaine, Optimisation multi-objective.
Title:
Algèbres
de Lie Symplectiques d'Ordre k
Authors:
A. Awane, A. Chkiriba,
M. Lahmouzi
Comments:
9 pages, no figures
Abstract:
We introduce Lie algebras of order k as well
as the left symmetric ones. We consider some
of their basic properties and study their
classification.
Keywords: Symplectic structure,
Lie Algebras.
Title:
FQH
Droplets Wave Function on Spheres
Authors:
R. Ahl Laamara, L.B
Drissi, E.H Saidi
Comments:
7 pages, no figures
Abstract:
Using matrix model formulation of Laughlin
fluid as well as su(2) representation theory,
we consider fractional Quantum Hall system
on 3d and 2d spheres and derive explicitly
the ground state wave function of the corresponding
fluid droplets.
Keywords: FQHE, Matrix model, Higher dimensions,
Ground state wave function, Conifold.
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Title:
Symétries Ponctuelles et Potentielles
de l'Equation de Fokker-Planck
Authors:
A. Ouhadan , E. H.
El Kinani, M. Rahmoune and A. Awane
Comments:
9 pages, no figures
Abstract:
Dans ce travail le crit\`ere d'invariance
est appliqué à l'équation
de Fokker-Planck (FP). La résolution
du système correspendant conduit
à ses symétries ponctuelles.
Un exemple de solutions sera traité.
Comme l'équation de Fokker-Planck
peut s'écrire sous une forme conservative,
nous considérons un système
auxiliaire associé à cette
équation dont la détérmination
des symétries
ponctuelles conduit aux symétries
potentielles de l'équation de Fokker-Planck..
Title:
On
a General Reduction Scheme of Fredholm Operators
Authors:
Bekkai Messirdi and
Ghouti Djellouli
Comments:
7 pages, no figures
Abstract:
In this paper we present a new reduction
scheme that we can applied to the study
of Fredholm operators. We mainly show in
a simple and original manner the stability
results for Fredholm
operators. We also get a fundamental characterization
result of the spectrum of these operators.
Key words: Fredholm operators, reduction,
stability theorems, spectrum.
Title:
An
Integral Involving Gegenbauer Polynomials.
Authors:
Fouzia El Wassoulii
Comments:
6 pages, no figures
Abstract:
In this paper we compute explicitly an integral
involving the Gegenbauer polynomials $C_{n}^{\alpha}(x)$.
Then we establish new addition formulas
for $C_{n}^{\alpha}(x).$
Keywords: Gegenbauer polynomial; Orthogonal
polynomials; Integral; ultraspherical polynomials.
Title:
Topological SL( 2) Gauge Theory on Conifold
Authors: El Hassan Saidi
Comments: 21 pages, no figures
Abstract:
Using a two component SL( 2) isospinor formalism,
we study the explicit link between conifold
$T^{\ast}{\mathbb{S}}^{3}$ and q-deformed
non commutative holomorphic geometry in complex
four dimensions. Then, thinking about conifold
as a projective complex three dimension hypersurface
embedded in non compact $WP^{5}( 1,-1,1,-1,1,-1)
$ space and using conifold local isometries,
we study topological SL( 2) gauge theory on
$T^{\ast} {\mathbb{S}}^{3}$ and its reductions
to lower dimension sub-manifolds $T^{\ast}
{\mathbb{S}}^{2}$, $T^{\ast} {\mathbb{S}}^{1}$
and their real slices. Projective symmetry
is also used to build a supersymmetric QFT
_{4}$ realization of these backgrounds. Extensions
for higher dimensions with conifold like properties
are explored.
Key words: Conifold, q-deformation,
non commutative complex geometry, topological
gauge theory. Nambu like background.
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Title:
An
$L^{p}-L^{q}-$Version of Morgan's Theorem
for the Fourier Schrodinger Transform
Authors: R. Daher, S.L. Hamad
Comments: 4 pages, no figures
Abstract:
In this note, we establish an $L^{p}-L^{q}$-version
of Morgan's theorem for the generalized Fourier
transform associated to the class of the Schrodinger
operators on the real line.
Key words: Fourier Transform,
Fourier-Schrodinger transform, Morgan's Theorem
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© African Journal of Mathematical Physics |
