8 citations · 15 across the 11 of their papers we have counts for
11 papers
Strongly reversible classes in
Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity
An element of a group is called or if it can be expressed as a product of two involutions. We provide necessary and sufficie…
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…
Reversibility and Real Adjoint Orbits of Linear Maps
Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity
We extend classical results on the classification of reversible elements of the group (and ) to $\mathrm{GL}(n, \mathbb{H})…
Reversibility of Affine Transformations
Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity
An element in a group is called reversible if is conjugate to in . An element in is strongly reversible if is conjugate to by an in…
Real adjoint orbits of the unipotent subgroup
Krishnendu Gongopadhyay, Chandan Maity
Let be a linear Lie group that acts on it's Lie algebra by the adjoint action: . An element is called $\mathrm{Ad}…
Real adjoint orbits of special linear groups
Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity
Let be a Lie group with Lie algebra . An element is called -real if for some . Moreover, if $…
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…
Reality of Unipotent elements in Classical Lie Groups
Krishnendu Gongopadhyay, Chandan Maity
The aim of this paper is to give a classification of real and strongly real unipotent elements in a classical simple Lie group. To do this, we will introduce an infinitesimal versi…
Phase Mixing of Large Amplitude Relativistic Electron Plasma Oscillation With Inhomogeneous Ion Background
Mithun Karmakar, Chandan Maity, Nikhil Chakrabarti
Phase mixing of relativistic large amplitude nonlinear plasma wave in presence of a time independent space periodic ion density profile has been investigated. Inhomogeneous ion alo…
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…