1 citations · 1 across the 3 of their papers we have counts for
4 papers
Lie's classification of finite dimensional algebras of Vector Fields in C^N
Hassan Azad, Indranil Biswas, Said Waqas Shah
Brief proofs of classical results of Lie on finite dimensional subalgebras of vector fields in two and three variables are outlined. The results for algebras of maximal rank for ve…
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…
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…
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.