12 citations · 23 across the 21 of their papers we have counts for
25 papers
Semisimple Algebras of Vector Fields on
Sajid Ali, Hassan Azad, Indranil Biswas +2
A local classification of semisimple algebras of vector fields on is given, using the canonical forms of the Heisenberg algebra and of $sl(2,\mathbb{C})\times sl(2…
Semisimple algebras of vector fields on C^N of maximal rank
Hassan Azad, Indranil Biswas, Fazal M. Mahomed
A classification of semisimple algebras of vector fields on C^N that have a Cartan subalgebra of dimension N is given. The proof uses basic representation theory and the local cano…
Symmetry Classification of Scalar th Order Ordinary Differential Equations
Said Waqas Shah, F. M. Mahomed, H. Azad
We complete the Lie symmetry classification of scalar nth order, , ordinary differential equations by means of the symmetry Lie algebras they admit. It is known that ther…
Ideals and conjugacy classes in solvable Lie algebras
Sajid Ali, Hassan Azad, Indranil Biswas +1
A constructive procedure is given to determine all ideals of a solvable Lie algebra. This is used in determining algorithmically all conjugacy classes of subalgebras of a given sol…
A novel procedure for constructing invariant subspaces of a set of matrices
Ahmad Y. Al-Dweik, Ryad Ghanam, Gerard Thompson +1
A problem that is frequently encountered in a variety of mathematical contexts, is to find the common invariant subspaces of a single, or set of matrices. A new method is proposed…
On Lie's classification of subalgebras of vector fields on the plane
Hassan Azad, Indranil Biswas, Fazal M. Mahomed +1
A brief proof of Lie's classification of solvable algebras of vector fields on the plane is given. The proof uses basic representation theory and PDEs.