Sheaves of Noncommutative Smooth and Holomorphic Functions Associated with the Non-Abelian Two-Dimensional Lie Algebra

The Lie Algebra of Smooth Sections of a T-bundle

In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle. We define a Lie bracket multiplication on this set so that it becomes a Lie algebra. In the particular case of tangent bundles this Lie algebra coincides with the Lie algebra of vector fie...

The Lie Algebra of a Smooth Manifold

It is well known that certain topological spaces are determined by rings of continuous real functions defined over them [l; 2; 3],1 and for differentiable manifolds the functions may be differen tiable [4; 7]. In this note we prove that the Lie algebra of all tangent vector fields with compact supports on an infinitely differentiable manifold determines the manifold, and that two such manifolds...

New Integrable Family in the n-Dimensional Homogeneous Lotka–Volterra Systems with Abelian Lie Algebra

where aij , i, j = 1, . . . , n are complex parameters. Integrability of the HLV system (1) has been fairly investigated in some particular cases, e.g. soliton systems, 3 the 2-dimensional systems or the 3-dimensional ABC system. 8, 9, 10 Almost all the above studies dealt with first integrals in the criterions of integrability. However it is known that a system of ordinary differential equatio...

a case study of the two translators of the holy quran: tahereh saffarzadeh and laleh bakhtiar

بطورکلی، کتاب های مقدسی همچون قران کریم را خوانندگان میتوان مطابق با پیش زمینه های مختلفی که درند درک کنند. محقق تلاش کرده نقش پیش زمینه اجتماعی-فرهنگی را روی ایدئولوژی های مترجمین زن و در نتیجه تاثیراتش را روی خواندن و ترجمه آیات قرآن کریم بررسی کند و ببیند که آیا تفاوت های واژگانی عمده ای میان این مترجمین وجود دارد یا نه. به این منظور، ترجمه 24 آیه از آیات قرآن کریم مورد بررسی مقایسه ای قرار ...

Parabolic Sheaves on Surfaces and Affine Lie Algebra Gl N