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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…
Positivity of Higgs Vector Bundles
Indranil Biswas, Snehajit Misra, Nabanita Ray
In \cite{BCO25}, Bruzzo, Capasso and Otero extended the notion of ampleness of vector bundles to the more general context of Higgs bundles. But the ampleness of Higgs bundles did n…
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…