14 citations · 40 across the 18 of their papers we have counts for
3 papers · 1 filter
Nilpotent Lie algebras of vector fields in three variables
Hassan Azad, Indranil Biswas, Ryad Ghanam
We give a complete constructive description of all finite dimensional nilpotent Lie algebras of smooth vector fields in three variables, including intransitive algebras. The descri…
Minimal Representations of Lie Algebras With Non-Trivial Levi Decomposition
Ryad Ghanam, Manoj Lamichhane, Gerard Thompson
We obtain minimal dimension matrix representations for each of the Lie algebras of dimension five, six, seven, and eight obtained by Turkowski that have a non-trivial Levi decompos…
Embedding algorithms and applications to differential equations
Sajid Ali, Hassan Azad, Indranil Biswas +2
Algorithms for embedding certain types of nilpotent subalgebras in maximal subalgebras of the same type are developed, using methods of real algebraic groups. These algorithms are…