5 citations · 9 across the 13 of their papers we have counts for
13 papers
Foliations formed by generic coadjoint orbits of a class of 7-dimensional real solvable Lie groups
Nguyen Tuyen, Le Vu
In this paper, we consider exponential, connected and simply connected Lie groups which are corresponding to Lie algebras of dimension 7 such that the nilradical of them is 5-dimen…
Some Applications of Lie Groups in Theory of Technical Progress
Le Anh Vu, Duong Quang Hoa, Nguyen Minh Tri +1
In recent decades, we have known some interesting applications of Lie theory in the theory of technological progress. Firstly, we will discuss some results of R. Saito in \cite{rS1…
Cohomology of some families of Lie algebras and quadratic Lie algebras
Cao Tran Tu Hai, Duong Minh Thanh, Le Anh Vu
The paper studies the cohomology of Lie algebras and quadratic Lie algebras. Firstly, we propose to describe the cohomology of -class which was introduced in \cite{LHNCN16…
The Second Cohomology Group of Elementary Quadratic Lie Superalgebras and Classifying a Subclass of 8-dimensional Solvable Quadratic Lie Superalgebras
Cao Tran Tu Hai, Duong Minh Thanh, Le Anh Vu
By definition, a quadratic Lie superalgebra is a Lie superalgebra endowed with a non-degenerate supersymmetric bilinear form which satisfies the even and invariant properties. In t…
Classification of Real Solvable Lie Algebras Whose Simply Connected Lie Groups Have Only Zero or Maximal Dimensional Coadjoint Orbits
Le Anh Vu, Ha Van Hieu, Nguyen Anh Tuan +2
In this paper we study a special subclass of real solvable Lie algebras having small dimensional or small codimensional derived ideal. It is well-known that the derived ideal of an…
K-theory for the Leaf Spaces of the Orbit Foliations of the co-adjoint Action of some 5-dimensional Solvable Lie groups
Le Anh Vu, Nguyen Anh Tuan, Duong Quang Hoa
In this paper, combining Kirillov's method of orbits with Connes' method in Differential Geometry, we study the so-called MD(5,3C)-foliations, i.e. the orbit foliations of the co-a…