2 citations · 3 across the 10 of their papers we have counts for
11 papers
An Algorithm for Determining Lie Algebra Types
Tu N. T. C. Nguyen, Tuan A. Nguyen, Vu A. Le
This paper investigates the Jordan--Kronecker invariant of finite dimensional complex Lie algebras. We present an explicit algorithm for determining the type of a given Lie algebra…
Complete and cocomplete Lie algebras with injective- and projective-type properties
Vu A. Le, Hoa Q. Duong, Tuan A. Nguyen
In the category of modules, injective and projective objects are characterized by the splitting of short exact sequences. Motivated by this principle, we investigate analogous phen…
Complete and cocomplete Lie algebras with injective and projective properties
Vu A. Le, Hoa Q. Duong, Tuan A. Nguyen
Motivated by the classical correspondence between short exact sequences and splitting properties in module theory, this paper examines the projective and injective analogues within…
Diameter of Commuting Graphs of Lie Algebras
Hieu V. Ha, Hoa D. Quang, Vu A. Le +1
In this paper, we study the connectedness of the commuting graph of a general Lie algebra and provide a process to determine whether the commuting graph is connected or not, as wel…
Foliations Formed by Generic Coadjoint Orbits of Lie Groups Corresponding to a Class Seven-Dimensional Solvable Lie Algebras
Tuyen T. M. Nguyen, Vu A. Le, Tuan A. Nguyen
We consider all connected and simply connected 7-dimensional Lie groups whose Lie algebras have nilradical $\g_{5,2} = \s \{X_1, X_2, X_3, X_4, X_5 \colon [X_1, X_2] = X_4, [X_1, X…
Classification of Solvable Lie algebras whose non-trivial Coadjoint Orbits of simply connected Lie groups are all of Codimension 2
Hieu Van Ha, Vu Anh Le, Tu Thi Cam Nguyen +1
We give a classification of real solvable Lie algebras whose non-trivial coadjoint orbits of corresponding simply connected Lie groups are all of codimension 2. These Lie algebras…