4 citations · 10 across the 8 of their papers we have counts for
8 papers
On the third and fourth Betti numbers of a homogeneous space of a Lie group
Indranil Biswas, Pralay Chatterjee, Chandan Maity
In the paper "The second cohomology of nilpotent orbits in classical Lie algebras, Kyoto J. Math. 60 (2020), no. 2, 717-799" by I. Biswas, P. Chatterjee, and C. Maity, explicit des…
Homotopy type of the nilpotent orbits in classical Lie algebras
Indranil Biswas, Pralay Chatterjee, Chandan Maity
In the paper "The Second cohomology of nilpotent orbits in classical Lie algebras, Kyoto J. Math. 60 (2020), no. 2, 717-799" by I. Biswas, P. Chatterjee and C. Maity homotopy types…
On the second cohomology of nilpotent orbits in exceptional Lie algebras
Pralay Chatterjee, Chandan Maity
In this paper we consider non-compact non-complex exceptional Lie algebras, and compute the dimensions of the second cohomology groups for most of the nilpotent orbits. For the res…
The second cohomology groups of nilpotent orbits in classical Lie algebras
Indranil Biswas, Pralay Chatterjee, Chandan Maity
The second de Rham cohomology groups of nilpotent orbits in non-compact real forms of classical complex simple Lie algebras are explicitly computed. Furthermore, the first de Rham…
On abstract homomorphisms of algebraic groups
Pralay Chatterjee
In this paper we study abstract group homomorphisms between the groups of rational points of linear algebraic groups which are not necessarily reductive. One of our main goal is to…
On the maximal solvable subgroups of semisimple algebraic groups
Hassan Azad, Indranil Biswas, Pralay Chatterjee
Let be a semisimple affine algebraic group defined over a field of characteristic zero. We describe all the maximal connected solvable subgroups of , defined over , u…