3 papers
math.RT2025
On Lie's classification of nonsolvable subalgebras of vector fields on the plane
Hassan Azad, Indranil Biswas, Ahsan Fazil +1
A brief proof of Lie's classification of finite dimensional subalgebras of vector fields on the complex plane that have a proper Levi decomposition is given. The proof uses basic r…
math.RT2024
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…
math.RT2023
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…